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<!-- DFIN ActiveDisclosure(SM) XBRL Linkbase Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2021-08-06T20:10:02.2453615+00:00 -->
<!-- Version            : 5.0.1.648 -->
<!-- Package ID         : 29bad3ebf2d34778b1e6b05f91d84aef -->
<!-- Copyright (c) 2021 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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    <link:label xml:lang="en-US" xlink:label="uhs_CommonClassDMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Common class D.</link:label>
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    <link:label xml:lang="en-US" xlink:label="dei_DocumentType_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Document Type</link:label>
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    <link:loc xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_TradingSymbol" xlink:type="locator" xlink:label="dei_TradingSymbol" />
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    <link:loc xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_SecurityExchangeName" xlink:type="locator" xlink:label="dei_SecurityExchangeName" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherAssetsCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other current assets</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherAssetsCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets Current</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsCurrent" xlink:type="locator" xlink:label="us-gaap_AssetsCurrent" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total current assets</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_AssetsCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Assets Current</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property and equipment</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Property, plant and equipment, net, Total</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentNet" xlink:to="us-gaap_PropertyPlantAndEquipmentNet_lbl" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherAssetsNoncurrentAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other assets:</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Goodwill" xlink:type="locator" xlink:label="us-gaap_Goodwill" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_Goodwill_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goodwill</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Goodwill" xlink:to="us-gaap_Goodwill_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_Goodwill_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Goodwill</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredIncomeTaxAssetsNet" xlink:type="locator" xlink:label="us-gaap_DeferredIncomeTaxAssetsNet" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredIncomeTaxAssetsNet_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred income taxes</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset" xlink:type="locator" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Right of use assets-operating leases</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredCosts" xlink:type="locator" xlink:label="us-gaap_DeferredCosts" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredCosts_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred charges</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherAssetsMiscellaneousNoncurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilitiesCurrentAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current liabilities:</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_LongTermDebtCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current maturities of long-term debt</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredIncomeTaxLiabilitiesNet_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Income Tax Liabilities Net</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_TemporaryEquityCarryingAmountIncludingPortionAttributableToNoncontrollingInterests_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Temporary Equity Carrying Amount Including Portion Attributable To Noncontrolling Interests</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract" xlink:type="locator" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity:</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquity" xlink:type="locator" xlink:label="us-gaap_StockholdersEquity" />
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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockholdersEquity" xlink:to="us-gaap_StockholdersEquity_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders Equity</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterest" xlink:type="locator" xlink:label="us-gaap_MinorityInterest" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Noncontrolling interest</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterest" xlink:to="us-gaap_MinorityInterest_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders Equity Including Portion Attributable To Noncontrolling Interest</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:type="locator" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity" />
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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="us-gaap_LiabilitiesAndStockholdersEquity_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities And Stockholders Equity</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_RestrictedShareBasedCompensationExpense" xlink:type="locator" xlink:label="uhs_RestrictedShareBasedCompensationExpense" />
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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_RestrictedShareBasedCompensationExpense" xlink:to="uhs_RestrictedShareBasedCompensationExpense_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_StockOptionExpense" xlink:type="locator" xlink:label="uhs_StockOptionExpense" />
    <link:label xml:lang="en-US" xlink:label="uhs_StockOptionExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock option expense.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_StockOptionExpense" xlink:to="uhs_StockOptionExpense_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance" xlink:type="locator" xlink:label="uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance" />
    <link:label xml:lang="en-US" xlink:label="uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncontrolling interest increase (decrease) from subsidiary equity issuance.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance" xlink:to="uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ComprehensiveIncomeNetOfTaxAttributableToRedeemableNonControllingInterest" xlink:type="locator" xlink:label="uhs_ComprehensiveIncomeNetOfTaxAttributableToRedeemableNonControllingInterest" />
    <link:label xml:lang="en-US" xlink:label="uhs_ComprehensiveIncomeNetOfTaxAttributableToRedeemableNonControllingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Comprehensive income net of tax attributable to redeemable non-controlling interest.</link:label>
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    <link:loc xlink:href="uhs-20210630.xsd#uhs_ComprehensiveIncomeNetOfTaxExcludingPortionAttributableToRedeemableNoncontrollingInterest" xlink:type="locator" xlink:label="uhs_ComprehensiveIncomeNetOfTaxExcludingPortionAttributableToRedeemableNoncontrollingInterest" />
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    <link:loc xlink:href="uhs-20210630.xsd#uhs_CommonStockAbstract" xlink:type="locator" xlink:label="uhs_CommonStockAbstract" />
    <link:label xml:lang="en-US" xlink:label="uhs_CommonStockAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_CommonStockAbstract" xlink:to="uhs_CommonStockAbstract_lbl" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statement Of Stockholders Equity [Abstract]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementOfStockholdersEquityAbstract" xlink:to="us-gaap_StatementOfStockholdersEquityAbstract_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementTable" xlink:type="locator" xlink:label="us-gaap_StatementTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Table]</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementEquityComponentsAxis" xlink:type="locator" xlink:label="us-gaap_StatementEquityComponentsAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Components</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Component</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RetainedEarningsUnappropriatedMember" xlink:type="locator" xlink:label="us-gaap_RetainedEarningsUnappropriatedMember" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeMember" xlink:type="locator" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_ParentMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">UHS Common Stockholders&apos; Equity</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_NoncontrollingInterestMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Noncontrolling Interest</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_NoncontrollingInterestMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Noncontrolling Interest [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_RedeemableInterestMember" xlink:type="locator" xlink:label="uhs_RedeemableInterestMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_RedeemableInterestMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Redeemable interest.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_RedeemableInterestMember" xlink:to="uhs_RedeemableInterestMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_RedeemableInterestMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redeemable Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RedeemableInterestMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Interest [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementLineItems" xlink:type="locator" xlink:label="us-gaap_StatementLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Line Items]</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount" xlink:type="locator" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Redeemable Noncontrolling Interest Equity Carrying Amount</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CommonStockAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CommonStockAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions" xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issued/(converted)</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromExerciseOfStockOptions_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Employee Service Share Based Compensation Tax Benefit From Exercise Of Stock Options</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockRepurchasedDuringPeriodValue" xlink:type="locator" xlink:label="us-gaap_StockRepurchasedDuringPeriodValue" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StockRepurchasedDuringPeriodValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repurchased</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StockRepurchasedDuringPeriodValue" xlink:to="us-gaap_StockRepurchasedDuringPeriodValue_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StockRepurchasedDuringPeriodValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Stock Repurchased During Period Value</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RestrictedShareBasedCompensationExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted share-based compensation expense</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RestrictedShareBasedCompensationExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Share Based Compensation Expense</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Dividends" xlink:type="locator" xlink:label="us-gaap_Dividends" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_Dividends_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends paid</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_Dividends" xlink:to="us-gaap_Dividends_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_Dividends_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Dividends</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_StockOptionExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock option expense</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_StockOptionExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Stock Option Expense</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestDecreaseFromDistributionsToNoncontrollingInterestHolders" xlink:type="locator" xlink:label="us-gaap_MinorityInterestDecreaseFromDistributionsToNoncontrollingInterestHolders" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestDecreaseFromDistributionsToNoncontrollingInterestHolders_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Distributions to noncontrolling interests</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterestDecreaseFromDistributionsToNoncontrollingInterestHolders" xlink:to="us-gaap_MinorityInterestDecreaseFromDistributionsToNoncontrollingInterestHolders_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestDecreaseFromDistributionsToNoncontrollingInterestHolders_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest Decrease From Distributions To Noncontrolling Interest Holders</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of ownership interests by minority members</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NoncontrollingInterestIncreaseDecreaseFromSubsidiaryEquityIssuance_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Noncontrolling Interest Increase Decrease From Subsidiary Equity Issuance</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTaxAbstract" xlink:type="locator" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Comprehensive income:</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ComprehensiveIncomeNetOfTaxAbstract" xlink:to="us-gaap_ComprehensiveIncomeNetOfTaxAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income Net Of Tax [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeExcludingRedeemableNoncontrollingInterests_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net income to UHS / noncontrolling interests</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeExcludingRedeemableNoncontrollingInterests_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Income Excluding Redeemable Noncontrolling Interests</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest" xlink:type="locator" xlink:label="us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net income attributable to redeemable noncontrolling interest</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest" xlink:to="us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Income Loss Attributable To Redeemable Noncontrolling Interest</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax" xlink:type="locator" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign currency translation adjustments, net of income tax</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income Loss Foreign Currency Transaction And Translation Adjustment Net Of Tax</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ComprehensiveIncomeNetOfTaxExcludingPortionAttributableToRedeemableNoncontrollingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Subtotal - comprehensive income</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ComprehensiveIncomeNetOfTaxExcludingPortionAttributableToRedeemableNoncontrollingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income Net Of Tax Excluding Portion Attributable To Redeemable Noncontrolling Interest</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ComprehensiveIncomeNetOfTaxAttributableToRedeemableNonControllingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Subtotal attributable to redeemable noncontrolling interest</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ComprehensiveIncomeNetOfTaxAttributableToRedeemableNonControllingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income Net Of Tax Attributable To Redeemable Non Controlling Interest</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_DepreciationForDiscontinuedOperationsAndAmortization" xlink:type="locator" xlink:label="uhs_DepreciationForDiscontinuedOperationsAndAmortization" />
    <link:label xml:lang="en-US" xlink:label="uhs_DepreciationForDiscontinuedOperationsAndAmortization_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Depreciation for discontinued operations and amortization.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_DepreciationForDiscontinuedOperationsAndAmortization" xlink:to="uhs_DepreciationForDiscontinuedOperationsAndAmortization_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GainLossOnSaleOfAssetsAndBusiness" xlink:type="locator" xlink:label="uhs_GainLossOnSaleOfAssetsAndBusiness" />
    <link:label xml:lang="en-US" xlink:label="uhs_GainLossOnSaleOfAssetsAndBusiness_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Gain loss on sale of assets and business.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GainLossOnSaleOfAssetsAndBusiness" xlink:to="uhs_GainLossOnSaleOfAssetsAndBusiness_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_IncreaseDecreaseInDeferredIncomeTaxesAndAccruedIncomeTaxesPayable" xlink:type="locator" xlink:label="uhs_IncreaseDecreaseInDeferredIncomeTaxesAndAccruedIncomeTaxesPayable" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseInDeferredIncomeTaxesAndAccruedIncomeTaxesPayable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase (Decrease) In Deferred Income Taxes And Accrued Income Taxes Payable</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_IncreaseDecreaseInDeferredIncomeTaxesAndAccruedIncomeTaxesPayable" xlink:to="uhs_IncreaseDecreaseInDeferredIncomeTaxesAndAccruedIncomeTaxesPayable_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants" xlink:type="locator" xlink:label="uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in Medicare accelerated payments and deferred CARES Act and other grants.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants" xlink:to="uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ProceedsFromSaleOfAssetsAndBusiness" xlink:type="locator" xlink:label="uhs_ProceedsFromSaleOfAssetsAndBusiness" />
    <link:label xml:lang="en-US" xlink:label="uhs_ProceedsFromSaleOfAssetsAndBusiness_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from sale of assets and business.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ProceedsFromSaleOfAssetsAndBusiness" xlink:to="uhs_ProceedsFromSaleOfAssetsAndBusiness_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications" xlink:type="locator" xlink:label="uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications" />
    <link:label xml:lang="en-US" xlink:label="uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment for purchase and implementation of information technology applications.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications" xlink:to="uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfCashFlowsAbstract" xlink:type="locator" xlink:label="us-gaap_StatementOfCashFlowsAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statement Of Cash Flows [Abstract]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementOfCashFlowsAbstract" xlink:to="us-gaap_StatementOfCashFlowsAbstract_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flows from Operating Activities:</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided By Used In Operating Activities [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:type="locator" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net income to net cash provided by operating activities:</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments To Reconcile Net Income Loss To Cash Provided By Used In Operating Activities [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_DepreciationForDiscontinuedOperationsAndAmortization_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation &amp; amortization</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_DepreciationForDiscontinuedOperationsAndAmortization_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation For Discontinued Operations And Amortization</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GainLossOnSaleOfAssetsAndBusiness_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">(Gain) loss on sale of assets and businesses</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GainLossOnSaleOfAssetsAndBusiness_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Gain Loss On Sale Of Assets And Business</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensation" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensation" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensation" xlink:to="us-gaap_ShareBasedCompensation_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetImpairmentCharges" xlink:type="locator" xlink:label="us-gaap_AssetImpairmentCharges" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for asset impairment</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AssetImpairmentCharges" xlink:to="us-gaap_AssetImpairmentCharges_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Asset Impairment Charges</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in assets &amp; liabilities, net of effects from acquisitions and dispositions:</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Operating Capital [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accounts receivable</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:to="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInAccountsReceivable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Accounts Receivable</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accrued interest</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet" />
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    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Medicare accelerated payments and deferred CARES Act and other grants</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseInMedicareAcceleratedPaymentsAndDeferredCARESActAndOtherGrants_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Medicare Accelerated Payments And Deferred C A R E S Act And Other Grants</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other assets and deferred charges</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xlink:to="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Other Operating Liabilities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInSelfInsuranceReserve" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInSelfInsuranceReserve" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInSelfInsuranceReserve_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued insurance expense, net of commercial premiums paid</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInSelfInsuranceReserve" xlink:to="us-gaap_IncreaseDecreaseInSelfInsuranceReserve_lbl" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInInsuranceSettlementsReceivable" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInInsuranceSettlementsReceivable" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInInsuranceSettlementsReceivable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Insurance Settlements Receivable</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by operating activities</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided By Used In Operating Activities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flows from Investing Activities:</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided By Used In Investing Activities [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Property and equipment additions</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:to="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments To Acquire Property Plant And Equipment</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ProceedsFromSaleOfAssetsAndBusiness_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds received from sales of assets and businesses</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ProceedsFromSaleOfAssetsAndBusiness_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Sale Of Assets And Business</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Acquisition of businesses and property</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired" xlink:to="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments To Acquire Businesses Net Of Cash Acquired</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsForProceedsFromHedgeInvestingActivities" xlink:type="locator" xlink:label="us-gaap_PaymentsForProceedsFromHedgeInvestingActivities" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsForProceedsFromHedgeInvestingActivities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Inflows (outflows) from foreign exchange contracts that hedge our net U.K. investment</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForProceedsFromHedgeInvestingActivities" xlink:to="us-gaap_PaymentsForProceedsFromHedgeInvestingActivities_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsForProceedsFromHedgeInvestingActivities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments For Proceeds From Hedge Investing Activities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInRestrictedCash" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInRestrictedCash" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInRestrictedCash_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Decrease in capital reserves of commercial insurance subsidiary</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncreaseDecreaseInRestrictedCash" xlink:to="us-gaap_IncreaseDecreaseInRestrictedCash_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInRestrictedCash_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Restricted Cash</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Costs incurred for purchase and implementation of information technology applications</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PaymentForPurchaseAndImplementationOfInformationTechnologyApplications_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payment For Purchase And Implementation Of Information Technology Applications</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireInterestInSubsidiariesAndAffiliates" xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireInterestInSubsidiariesAndAffiliates" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireInterestInSubsidiariesAndAffiliates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Investment in, and advances to, joint ventures and other</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireInterestInSubsidiariesAndAffiliates" xlink:to="us-gaap_PaymentsToAcquireInterestInSubsidiariesAndAffiliates_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireInterestInSubsidiariesAndAffiliates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments To Acquire Interest In Subsidiaries And Affiliates</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in investing activities</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided By Used In Investing Activities</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:type="locator" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flows from Financing Activities:</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Cash Provided By Used In Financing Activities [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RepaymentsOfLongTermDebt" xlink:type="locator" xlink:label="us-gaap_RepaymentsOfLongTermDebt" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RepaymentsOfLongTermDebt_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Reduction of long-term debt</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_RepaymentsOfLongTermDebt_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Repayments Of Long Term Debt</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromLinesOfCredit" xlink:type="locator" xlink:label="us-gaap_ProceedsFromLinesOfCredit" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional borrowings</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Lines Of Credit</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:type="locator" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repurchase of common shares</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsForRepurchaseOfCommonStock_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments For Repurchase Of Common Stock</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfDividendsCommonStock" xlink:type="locator" xlink:label="us-gaap_PaymentsOfDividendsCommonStock" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsOfDividendsCommonStock_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends paid</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:type="locator" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsOfDividendsMinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Profit distributions to noncontrolling interests</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsOfDividendsMinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments Of Dividends Minority Interest</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeasesOfLesseeDisclosureTextBlock" xlink:type="locator" xlink:label="us-gaap_LeasesOfLesseeDisclosureTextBlock" />
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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AccountingChangesAndErrorCorrectionsAbstract" xlink:to="us-gaap_AccountingChangesAndErrorCorrectionsAbstract_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock" xlink:type="locator" xlink:label="us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfPropertySubjectToOrAvailableForOperatingLeaseTextBlock" xlink:type="locator" xlink:label="us-gaap_ScheduleOfPropertySubjectToOrAvailableForOperatingLeaseTextBlock" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:type="locator" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" />
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    <link:loc xlink:href="uhs-20210630.xsd#uhs_ScheduleOfSupplementalCashFlowInformationRelatedToLeasesTableTextBlock" xlink:type="locator" xlink:label="uhs_ScheduleOfSupplementalCashFlowInformationRelatedToLeasesTableTextBlock" />
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    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredRevenueArrangementTypeAxis" xlink:to="us-gaap_DeferredRevenueArrangementTypeAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredRevenueArrangementTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Revenue Arrangement Type [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredRevenueArrangementTypeDomain" xlink:type="locator" xlink:label="us-gaap_DeferredRevenueArrangementTypeDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredRevenueArrangementTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Revenue</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredRevenueArrangementTypeDomain" xlink:to="us-gaap_DeferredRevenueArrangementTypeDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredRevenueArrangementTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Revenue Arrangement Type [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MedicareAcceleratedAndAdvancePaymentProgramMember" xlink:type="locator" xlink:label="uhs_MedicareAcceleratedAndAdvancePaymentProgramMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareAcceleratedAndAdvancePaymentProgramMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Medicare accelerated and advance payment program.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MedicareAcceleratedAndAdvancePaymentProgramMember" xlink:to="uhs_MedicareAcceleratedAndAdvancePaymentProgramMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareAcceleratedAndAdvancePaymentProgramMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Medicare Accelerated and Advance Payment Program</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareAcceleratedAndAdvancePaymentProgramMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Medicare Accelerated And Advance Payment Program [Member]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_DisclosureOfGeneralInformationLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Disclosure of General Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_DisclosureOfGeneralInformationLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure Of General Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AdditionalFundsReceivedFromGovernmentByCARESAct_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional funds received from government by CARES Act</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AdditionalFundsReceivedFromGovernmentByCARESAct_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Additional Funds Received From Government By C A R E S Act</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ReturnOfFundsByCARESActToGovernment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Return of funds by CARES Act to government</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ReturnOfFundsByCARESActToGovernment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Return Of Funds By C A R E S Act To Government</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MedicareAcceleratedPaymentsReceived" xlink:type="locator" xlink:label="uhs_MedicareAcceleratedPaymentsReceived" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareAcceleratedPaymentsReceived_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Medicare accelerated payments received.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MedicareAcceleratedPaymentsReceived" xlink:to="uhs_MedicareAcceleratedPaymentsReceived_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareAcceleratedPaymentsReceived_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Medicare accelerated payments received</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareAcceleratedPaymentsReceived_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Medicare Accelerated Payments Received</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets" xlink:type="locator" xlink:label="uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets" />
    <link:label xml:lang="en-US" xlink:label="uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of advisory fee on average invested real estate assets.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets" xlink:to="uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:type="locator" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Related Party Transactions By Related Party [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:to="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Related Party Transactions By Related Party [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:to="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions By Related Party [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyDomain" xlink:type="locator" xlink:label="us-gaap_RelatedPartyDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyDomain" xlink:to="us-gaap_RelatedPartyDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Related Party [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_UniversalHealthRealtyIncomeTrustMember" xlink:type="locator" xlink:label="uhs_UniversalHealthRealtyIncomeTrustMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_UniversalHealthRealtyIncomeTrustMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Universal Health Realty Income Trust.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_UniversalHealthRealtyIncomeTrustMember" xlink:to="uhs_UniversalHealthRealtyIncomeTrustMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_UniversalHealthRealtyIncomeTrustMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Relationship with Universal Health Realty Income Trust</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_UniversalHealthRealtyIncomeTrustMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Universal Health Realty Income Trust [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ProductOrServiceAxis" xlink:type="locator" xlink:label="srt_ProductOrServiceAxis" />
    <link:label xml:lang="en-US" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Product and Service</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ProductOrServiceAxis" xlink:to="srt_ProductOrServiceAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_ProductOrServiceAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Product Or Service [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ProductsAndServicesDomain" xlink:type="locator" xlink:label="srt_ProductsAndServicesDomain" />
    <link:label xml:lang="en-US" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Product and Service</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ProductsAndServicesDomain" xlink:to="srt_ProductsAndServicesDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Products And Services [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InvestmentAdviceMember" xlink:type="locator" xlink:label="us-gaap_InvestmentAdviceMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_InvestmentAdviceMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advisory Fee</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentAdviceMember" xlink:to="us-gaap_InvestmentAdviceMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_InvestmentAdviceMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Investment Advice [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeAxis" xlink:type="locator" xlink:label="srt_RangeAxis" />
    <link:label xml:lang="en-US" xlink:label="srt_RangeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_RangeAxis" xlink:to="srt_RangeAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_RangeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Range [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_RangeMember" xlink:type="locator" xlink:label="srt_RangeMember" />
    <link:label xml:lang="en-US" xlink:label="srt_RangeMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_RangeMember" xlink:to="srt_RangeMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_RangeMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Range [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MinimumMember" xlink:type="locator" xlink:label="srt_MinimumMember" />
    <link:label xml:lang="en-US" xlink:label="srt_MinimumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_MinimumMember" xlink:to="srt_MinimumMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_MinimumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MaximumMember" xlink:type="locator" xlink:label="srt_MaximumMember" />
    <link:label xml:lang="en-US" xlink:label="srt_MaximumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_MaximumMember" xlink:to="srt_MaximumMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_MaximumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_StatementGeographicalAxis" xlink:type="locator" xlink:label="srt_StatementGeographicalAxis" />
    <link:label xml:lang="en-US" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographical</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_StatementGeographicalAxis" xlink:to="srt_StatementGeographicalAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statement Geographical [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_SegmentGeographicalDomain" xlink:type="locator" xlink:label="srt_SegmentGeographicalDomain" />
    <link:label xml:lang="en-US" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographical</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_SegmentGeographicalDomain" xlink:to="srt_SegmentGeographicalDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Segment Geographical [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_CliveIowaMember" xlink:type="locator" xlink:label="uhs_CliveIowaMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_CliveIowaMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Clive, Iowa.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_CliveIowaMember" xlink:to="uhs_CliveIowaMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_CliveIowaMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Clive, Iowa.</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CliveIowaMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Clive Iowa [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementBusinessSegmentsAxis" xlink:type="locator" xlink:label="us-gaap_StatementBusinessSegmentsAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementBusinessSegmentsAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segments</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_StatementBusinessSegmentsAxis" xlink:to="us-gaap_StatementBusinessSegmentsAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_StatementBusinessSegmentsAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statement Business Segments [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentDomain" xlink:type="locator" xlink:label="us-gaap_SegmentDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SegmentDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segments</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SegmentDomain" xlink:to="us-gaap_SegmentDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SegmentDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Segment [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_BehavioralHealthCareFacilityMember" xlink:type="locator" xlink:label="uhs_BehavioralHealthCareFacilityMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthCareFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Behavioral health care facility.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_BehavioralHealthCareFacilityMember" xlink:to="uhs_BehavioralHealthCareFacilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthCareFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Behavioral Health Care Facility</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthCareFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Behavioral Health Care Facility [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_OwnershipAxis" xlink:type="locator" xlink:label="srt_OwnershipAxis" />
    <link:label xml:lang="en-US" xlink:label="srt_OwnershipAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_OwnershipAxis" xlink:to="srt_OwnershipAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_OwnershipAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Ownership [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_OwnershipDomain" xlink:type="locator" xlink:label="srt_OwnershipDomain" />
    <link:label xml:lang="en-US" xlink:label="srt_OwnershipDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_OwnershipDomain" xlink:to="srt_OwnershipDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_OwnershipDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Ownership [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_LimitedLiabilityCompaniesMember" xlink:type="locator" xlink:label="uhs_LimitedLiabilityCompaniesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_LimitedLiabilityCompaniesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Limited Liability Companies.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_LimitedLiabilityCompaniesMember" xlink:to="uhs_LimitedLiabilityCompaniesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_LimitedLiabilityCompaniesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Limited Liability Companies</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LimitedLiabilityCompaniesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Limited Liability Companies [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MajorPropertyClassAxis" xlink:type="locator" xlink:label="us-gaap_MajorPropertyClassAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MajorPropertyClassAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Major Property Class</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MajorPropertyClassAxis" xlink:to="us-gaap_MajorPropertyClassAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MajorPropertyClassAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Major Property Class [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MajorPropertyClassDomain" xlink:type="locator" xlink:label="us-gaap_MajorPropertyClassDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MajorPropertyClassDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Major Property Class</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MajorPropertyClassDomain" xlink:to="us-gaap_MajorPropertyClassDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MajorPropertyClassDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Major Property Class [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_SouthwestHealthcareSystemInlandValleyCampusMember" xlink:type="locator" xlink:label="uhs_SouthwestHealthcareSystemInlandValleyCampusMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_SouthwestHealthcareSystemInlandValleyCampusMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Southwest healthcare system, inland valley campus.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_SouthwestHealthcareSystemInlandValleyCampusMember" xlink:to="uhs_SouthwestHealthcareSystemInlandValleyCampusMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_SouthwestHealthcareSystemInlandValleyCampusMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Southwest Healthcare System, Inland Valley Campus</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_SouthwestHealthcareSystemInlandValleyCampusMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Southwest Healthcare System Inland Valley Campus [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_TitleOfIndividualAxis" xlink:type="locator" xlink:label="srt_TitleOfIndividualAxis" />
    <link:label xml:lang="en-US" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of Individual</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_TitleOfIndividualAxis" xlink:to="srt_TitleOfIndividualAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Title Of Individual [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_TitleOfIndividualWithRelationshipToEntityDomain" xlink:type="locator" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain" />
    <link:label xml:lang="en-US" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of Individual</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_TitleOfIndividualWithRelationshipToEntityDomain" xlink:to="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Title Of Individual With Relationship To Entity [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ChiefExecutiveOfficerMember" xlink:type="locator" xlink:label="srt_ChiefExecutiveOfficerMember" />
    <link:label xml:lang="en-US" xlink:label="srt_ChiefExecutiveOfficerMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Chief Executive Officer</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_ChiefExecutiveOfficerMember" xlink:to="srt_ChiefExecutiveOfficerMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="srt_ChiefExecutiveOfficerMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Chief Executive Officer [Member]</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_LegalEntityAxis" xlink:type="locator" xlink:label="dei_LegalEntityAxis" />
    <link:label xml:lang="en-US" xlink:label="dei_LegalEntityAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal Entity</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_LegalEntityAxis" xlink:to="dei_LegalEntityAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_LegalEntityAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Legal Entity [Axis]</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd#dei_EntityDomain" xlink:type="locator" xlink:label="dei_EntityDomain" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_EntityDomain" xlink:to="dei_EntityDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="dei_EntityDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Entity [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TrustOwnedByChiefExecutiveOfficerMember" xlink:type="locator" xlink:label="uhs_TrustOwnedByChiefExecutiveOfficerMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_TrustOwnedByChiefExecutiveOfficerMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Trust owned by chief executive officer.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TrustOwnedByChiefExecutiveOfficerMember" xlink:to="uhs_TrustOwnedByChiefExecutiveOfficerMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TrustOwnedByChiefExecutiveOfficerMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trust Owned by CEO</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TrustOwnedByChiefExecutiveOfficerMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Trust Owned By Chief Executive Officer [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_PremierIncMember" xlink:type="locator" xlink:label="uhs_PremierIncMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_PremierIncMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Premier, Inc.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_PremierIncMember" xlink:to="uhs_PremierIncMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_PremierIncMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Premier, Inc.</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PremierIncMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Premier Inc [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementLocationAxis" xlink:type="locator" xlink:label="us-gaap_IncomeStatementLocationAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeStatementLocationAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Statement Location</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeStatementLocationAxis" xlink:to="us-gaap_IncomeStatementLocationAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeStatementLocationAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement Location [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeStatementLocationDomain" xlink:type="locator" xlink:label="us-gaap_IncomeStatementLocationDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Statement Location</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeStatementLocationDomain" xlink:to="us-gaap_IncomeStatementLocationDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement Location [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherOperatingIncomeExpenseMember" xlink:type="locator" xlink:label="us-gaap_OtherOperatingIncomeExpenseMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherOperatingIncomeExpenseMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other (Income) Expense, Net</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherOperatingIncomeExpenseMember" xlink:to="us-gaap_OtherOperatingIncomeExpenseMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherOperatingIncomeExpenseMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other Operating Income Expense [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TypeOfArrangementAxis" xlink:type="locator" xlink:label="us-gaap_TypeOfArrangementAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborative Arrangement and Arrangement Other than Collaborative</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_TypeOfArrangementAxis" xlink:to="us-gaap_TypeOfArrangementAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Type Of Arrangement [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ArrangementsAndNonarrangementTransactionsMember" xlink:type="locator" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collaborative Arrangement and Arrangement Other than Collaborative</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ArrangementsAndNonarrangementTransactionsMember" xlink:to="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Arrangements And Nonarrangement Transactions [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GroupPurchasingOrganizationAgreementMember" xlink:type="locator" xlink:label="uhs_GroupPurchasingOrganizationAgreementMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_GroupPurchasingOrganizationAgreementMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Group purchasing organization agreement.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GroupPurchasingOrganizationAgreementMember" xlink:to="uhs_GroupPurchasingOrganizationAgreementMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_GroupPurchasingOrganizationAgreementMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Group Purchasing Organization Agreement</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GroupPurchasingOrganizationAgreementMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Group Purchasing Organization Agreement [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AwardTypeAxis" xlink:type="locator" xlink:label="us-gaap_AwardTypeAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AwardTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award Type</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AwardTypeAxis" xlink:to="us-gaap_AwardTypeAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AwardTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Award Type [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Award Type</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:to="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangements By Share Based Payment Award Award Type And Plan Name [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RestrictedStockMember" xlink:type="locator" xlink:label="us-gaap_RestrictedStockMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RestrictedStockMember" xlink:to="us-gaap_RestrictedStockMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionLineItems" xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transaction [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionLineItems" xlink:to="us-gaap_RelatedPartyTransactionLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:type="locator" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trust outstanding shares held, percentage</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:to="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment Ownership Percentage</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of advisory fee on average invested real estate assets</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PercentageOfAdvisoryFeeOnAverageInvestedRealEstateAssets_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Advisory Fee On Average Invested Real Estate Assets</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:type="locator" xlink:label="us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre-tax share of income from the Trust</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty" xlink:to="us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RelatedPartyTransactionOtherRevenuesFromTransactionsWithRelatedParty_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction Other Revenues From Transactions With Related Party</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromDividendsReceived" xlink:type="locator" xlink:label="us-gaap_ProceedsFromDividendsReceived" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromDividendsReceived_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends received from the Trust</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromDividendsReceived" xlink:to="us-gaap_ProceedsFromDividendsReceived_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromDividendsReceived_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Dividends Received</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestments" xlink:type="locator" xlink:label="us-gaap_EquityMethodInvestments" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying value of investment in Trust</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityMethodInvestments" xlink:to="us-gaap_EquityMethodInvestments_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityMethodInvestmentQuotedMarketValue" xlink:type="locator" xlink:label="us-gaap_EquityMethodInvestmentQuotedMarketValue" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityMethodInvestmentQuotedMarketValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market value of investment in Trust</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityMethodInvestmentQuotedMarketValue" xlink:to="us-gaap_EquityMethodInvestmentQuotedMarketValue_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityMethodInvestmentQuotedMarketValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment Quoted Market Value</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_LeaseRenewalPeriod" xlink:type="locator" xlink:label="uhs_LeaseRenewalPeriod" />
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseRenewalPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Lease renewal period.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_LeaseRenewalPeriod" xlink:to="uhs_LeaseRenewalPeriod_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseTermOfContract" xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease initial terms</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LesseeOperatingLeaseTermOfContract" xlink:to="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Term Of Contract</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseRenewalPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease renewal period, years</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseRenewalPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lease Renewal Period</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfHospitalFacilities" xlink:type="locator" xlink:label="uhs_NumberOfHospitalFacilities" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfHospitalFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of hospital facilities.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NumberOfHospitalFacilities" xlink:to="uhs_NumberOfHospitalFacilities_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NoticePeriodOnRenewalOfLease" xlink:type="locator" xlink:label="uhs_NoticePeriodOnRenewalOfLease" />
    <link:label xml:lang="en-US" xlink:label="uhs_NoticePeriodOnRenewalOfLease_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Notice period on renewal of lease.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NoticePeriodOnRenewalOfLease" xlink:to="uhs_NoticePeriodOnRenewalOfLease_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_PeriodOfRightsOfRefusalToLeasedFacilities" xlink:type="locator" xlink:label="uhs_PeriodOfRightsOfRefusalToLeasedFacilities" />
    <link:label xml:lang="en-US" xlink:label="uhs_PeriodOfRightsOfRefusalToLeasedFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Period of rights of refusal to leased facilities.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_PeriodOfRightsOfRefusalToLeasedFacilities" xlink:to="uhs_PeriodOfRightsOfRefusalToLeasedFacilities_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseExpense" xlink:type="locator" xlink:label="us-gaap_OperatingLeaseExpense" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rent expense under operating leases</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingLeaseExpense" xlink:to="us-gaap_OperatingLeaseExpense_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeaseExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease Expense</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NoticePeriodOnRenewalOfLease_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notice period on renewal of lease</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NoticePeriodOnRenewalOfLease_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Notice Period On Renewal Of Lease</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PeriodOfRightsOfRefusalToLeasedFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Period of rights of refusal to leased facilities</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PeriodOfRightsOfRefusalToLeasedFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Period Of Rights Of Refusal To Leased Facilities</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfHospitalFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of hospital facilities</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfHospitalFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Hospital Facilities</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_LeaseExpirationMonthAndYear" xlink:type="locator" xlink:label="uhs_LeaseExpirationMonthAndYear" />
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationMonthAndYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Lease expiration, month and year.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_LeaseExpirationMonthAndYear" xlink:to="uhs_LeaseExpirationMonthAndYear_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_LeaseExpirationPeriod" xlink:type="locator" xlink:label="uhs_LeaseExpirationPeriod" />
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Lease expiration period.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_LeaseExpirationPeriod" xlink:to="uhs_LeaseExpirationPeriod_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertySubjectToOrAvailableForOperatingLeaseByMajorPropertyClassTable" xlink:type="locator" xlink:label="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseByMajorPropertyClassTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseByMajorPropertyClassTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property Subject To Or Available For Operating Lease By Major Property Class [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseByMajorPropertyClassTable" xlink:to="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseByMajorPropertyClassTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseByMajorPropertyClassTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Property Subject To Or Available For Operating Lease By Major Property Class [Table]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_McAllenMedicalCenterMember" xlink:type="locator" xlink:label="uhs_McAllenMedicalCenterMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_McAllenMedicalCenterMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">McAllen medical center.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_McAllenMedicalCenterMember" xlink:to="uhs_McAllenMedicalCenterMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_McAllenMedicalCenterMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">McAllen Medical Center</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_McAllenMedicalCenterMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Mc Allen Medical Center [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_WellingtonRegionalMedicalCenterMember" xlink:type="locator" xlink:label="uhs_WellingtonRegionalMedicalCenterMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_WellingtonRegionalMedicalCenterMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Wellington regional medical center.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_WellingtonRegionalMedicalCenterMember" xlink:to="uhs_WellingtonRegionalMedicalCenterMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_WellingtonRegionalMedicalCenterMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wellington Regional Medical Center</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_WellingtonRegionalMedicalCenterMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Wellington Regional Medical Center [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertySubjectToOrAvailableForOperatingLeaseLineItems" xlink:type="locator" xlink:label="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property Subject to or Available for Operating Lease [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseLineItems" xlink:to="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertySubjectToOrAvailableForOperatingLeaseLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Property Subject To Or Available For Operating Lease [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeasesRentExpenseMinimumRentals" xlink:type="locator" xlink:label="us-gaap_OperatingLeasesRentExpenseMinimumRentals" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeasesRentExpenseMinimumRentals_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Annual Minimum Rent</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingLeasesRentExpenseMinimumRentals" xlink:to="us-gaap_OperatingLeasesRentExpenseMinimumRentals_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeasesRentExpenseMinimumRentals_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Rent Expense Minimum Rentals</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationMonthAndYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">End of Lease Term</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationMonthAndYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lease Expiration Month And Year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Renewal Term (years)</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lease Expiration Period</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates" xlink:type="locator" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating leases, number of renewal options at existing lease rates.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates" xlink:to="uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates" xlink:type="locator" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating leases, renewal options term at existing lease rates.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates" xlink:to="uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear" xlink:type="locator" xlink:label="uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating leases, renewal options at existing lease rates, expiration year.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear" xlink:to="uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates" xlink:type="locator" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating leases, number of renewal options at fair market value lease rates.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates" xlink:to="uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates" xlink:type="locator" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating leases, renewal options term at fair market value lease rates.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates" xlink:to="uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear" xlink:type="locator" xlink:label="uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating leases, renewal options at fair market value lease rates, expiration year.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear" xlink:to="uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of renewal options at existing lease rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtExistingLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Number Of Renewal Options At Existing Lease Rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Renewal options term at existing lease rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtExistingLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Renewal Options Term At Existing Lease Rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Renewal options at existing lease rates expiration year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsAtExistingLeaseRatesExpirationYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Renewal Options At Existing Lease Rates Expiration Year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of renewal options at fair market lease rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesNumberOfRenewalOptionsAtFairMarketValueLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Number Of Renewal Options At Fair Market Value Lease Rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Renewal options term at fair market lease rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsTermAtFairMarketValueLeaseRates_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Renewal Options Term At Fair Market Value Lease Rates</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Renewal options at fair market value lease rates expiration year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OperatingLeasesRenewalOptionsAtFairMarketValueLeaseRatesExpirationYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leases Renewal Options At Fair Market Value Lease Rates Expiration Year</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility" xlink:type="locator" xlink:label="uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of beds available in behavioral health care facility.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility" xlink:to="uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfTripleNetLeaseRate" xlink:type="locator" xlink:label="uhs_NumberOfTripleNetLeaseRate" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfTripleNetLeaseRate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of triple net lease rate.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NumberOfTripleNetLeaseRate" xlink:to="uhs_NumberOfTripleNetLeaseRate_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of bed available in behavioral health care facility</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBedsAvailableInBehavioralHealthCareFacility_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Beds Available In Behavioral Health Care Facility</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfTripleNetLeaseRate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of triple net lease</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfTripleNetLeaseRate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Triple Net Lease Rate</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition" xlink:type="locator" xlink:label="uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of freestanding emergency departments to be acquired in business acquisition.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition" xlink:to="uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of free-standing emergency departments to be acquired</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfFreestandingEmergencyDepartmentsToBeAcquiredInBusinessAcquisition_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Freestanding Emergency Departments To Be Acquired In Business Acquisition</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestOwnershipPercentageByParent" xlink:type="locator" xlink:label="us-gaap_MinorityInterestOwnershipPercentageByParent" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestOwnershipPercentageByParent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-controlling ownership interests by subsidiaries</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterestOwnershipPercentageByParent" xlink:to="us-gaap_MinorityInterestOwnershipPercentageByParent_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestOwnershipPercentageByParent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest Ownership Percentage By Parent</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies" xlink:type="locator" xlink:label="uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies" />
    <link:label xml:lang="en-US" xlink:label="uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Estimated payments to acquire life insurance policies.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies" xlink:to="uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_EstimatedProceedsFromLifeInsurancePolicies" xlink:type="locator" xlink:label="uhs_EstimatedProceedsFromLifeInsurancePolicies" />
    <link:label xml:lang="en-US" xlink:label="uhs_EstimatedProceedsFromLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Estimated proceeds from life insurance policies.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_EstimatedProceedsFromLifeInsurancePolicies" xlink:to="uhs_EstimatedProceedsFromLifeInsurancePolicies_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated payments to acquire life insurance policies</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_EstimatedPaymentsToAcquireLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Estimated Payments To Acquire Life Insurance Policies</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_EstimatedProceedsFromLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated death benefit proceeds</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_EstimatedProceedsFromLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Estimated Proceeds From Life Insurance Policies</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireLifeInsurancePolicies" xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireLifeInsurancePolicies" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments to acquire life insurance policies, net</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireLifeInsurancePolicies" xlink:to="us-gaap_PaymentsToAcquireLifeInsurancePolicies_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireLifeInsurancePolicies_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments To Acquire Life Insurance Policies</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear" xlink:type="locator" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear" />
    <link:label xml:lang="en-US" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award, award vesting period start year.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear" xlink:to="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear" xlink:type="locator" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear" />
    <link:label xml:lang="en-US" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award, award vesting period end year.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear" xlink:to="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares vesting period</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriod1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Award Vesting Period1</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares vesting period start year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodStartYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Award Vesting Period Start Year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares vesting period end year</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodEndYear_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Award Vesting Period End Year</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market value of retained vested shares</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Vested In Period Total Fair Value</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InvestmentIncomeDividend" xlink:type="locator" xlink:label="us-gaap_InvestmentIncomeDividend" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_InvestmentIncomeDividend_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InvestmentIncomeDividend" xlink:to="us-gaap_InvestmentIncomeDividend_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_InvestmentIncomeDividend_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Investment Income Dividend</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest" xlink:type="locator" xlink:label="uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest" />
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Behavioral health care facilities outside owners holding noncontrolling minority interest.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest" xlink:to="uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestTable" xlink:type="locator" xlink:label="us-gaap_MinorityInterestTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minority Interest [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterestTable" xlink:to="us-gaap_MinorityInterestTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest [Table]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OutsideOwnersMember" xlink:type="locator" xlink:label="uhs_OutsideOwnersMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_OutsideOwnersMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Outside owners.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OutsideOwnersMember" xlink:to="uhs_OutsideOwnersMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OutsideOwnersMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outside Owners</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OutsideOwnersMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Outside Owners [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_AcuteCareFacilityMember" xlink:type="locator" xlink:label="uhs_AcuteCareFacilityMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_AcuteCareFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Acute care facility.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_AcuteCareFacilityMember" xlink:to="uhs_AcuteCareFacilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_AcuteCareFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acute Care Facility</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AcuteCareFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Acute Care Facility [Member]</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_DC" xlink:type="locator" xlink:label="stpr_DC" />
    <link:label xml:lang="en-US" xlink:label="stpr_DC_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Washington, District of Columbia</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_DC" xlink:to="stpr_DC_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_DC_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">DISTRICT OF COLUMBIA</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_TX" xlink:type="locator" xlink:label="stpr_TX" />
    <link:label xml:lang="en-US" xlink:label="stpr_TX_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Texas</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_TX" xlink:to="stpr_TX_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_TX_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">TEXAS</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_PA" xlink:type="locator" xlink:label="stpr_PA" />
    <link:label xml:lang="en-US" xlink:label="stpr_PA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pennsylvania</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_PA" xlink:to="stpr_PA_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_PA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">PENNSYLVANIA</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_OH" xlink:type="locator" xlink:label="stpr_OH" />
    <link:label xml:lang="en-US" xlink:label="stpr_OH_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ohio</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_OH" xlink:to="stpr_OH_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_OH_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">OHIO</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_NV" xlink:type="locator" xlink:label="stpr_NV" />
    <link:label xml:lang="en-US" xlink:label="stpr_NV_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nevada</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_NV" xlink:to="stpr_NV_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_NV_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">NEVADA</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_WA" xlink:type="locator" xlink:label="stpr_WA" />
    <link:label xml:lang="en-US" xlink:label="stpr_WA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Washington</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_WA" xlink:to="stpr_WA_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_WA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">WASHINGTON</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_MO" xlink:type="locator" xlink:label="stpr_MO" />
    <link:label xml:lang="en-US" xlink:label="stpr_MO_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Missouri</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_MO" xlink:to="stpr_MO_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_MO_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">MISSOURI</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_IA" xlink:type="locator" xlink:label="stpr_IA" />
    <link:label xml:lang="en-US" xlink:label="stpr_IA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Iowa</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_IA" xlink:to="stpr_IA_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_IA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">IOWA</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestLineItems" xlink:type="locator" xlink:label="us-gaap_MinorityInterestLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minority Interest [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterestLineItems" xlink:to="us-gaap_MinorityInterestLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Behavioral health care facilities with outside owners holding non-controlling minority interest</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthCareFacilitiesOutsideOwnersHoldingNoncontrollingMinorityInterest_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Behavioral Health Care Facilities Outside Owners Holding Noncontrolling Minority Interest</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners" xlink:type="locator" xlink:label="us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of non-controlling, minority ownership interests held by outside owners</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners" xlink:to="us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestOwnershipPercentageByNoncontrollingOwners_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest Ownership Percentage By Noncontrolling Owners</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_MinorityInterestInJointVentures" xlink:type="locator" xlink:label="us-gaap_MinorityInterestInJointVentures" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestInJointVentures_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-controlling interest balances</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_MinorityInterestInJointVentures" xlink:to="us-gaap_MinorityInterestInJointVentures_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_MinorityInterestInJointVentures_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Minority Interest In Joint Ventures</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redeemable non-controlling interest balances</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfTreasuryStockTable" xlink:type="locator" xlink:label="us-gaap_ClassOfTreasuryStockTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ClassOfTreasuryStockTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class Of Treasury Stock [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ClassOfTreasuryStockTable" xlink:to="us-gaap_ClassOfTreasuryStockTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ClassOfTreasuryStockTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Class Of Treasury Stock [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityAxis" xlink:type="locator" xlink:label="us-gaap_CreditFacilityAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CreditFacilityAxis" xlink:to="us-gaap_CreditFacilityAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CreditFacilityDomain" xlink:type="locator" xlink:label="us-gaap_CreditFacilityDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CreditFacilityDomain" xlink:to="us-gaap_CreditFacilityDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RevolvingCreditFacilityMember" xlink:type="locator" xlink:label="us-gaap_RevolvingCreditFacilityMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RevolvingCreditFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving Credit Facility</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RevolvingCreditFacilityMember" xlink:to="us-gaap_RevolvingCreditFacilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RevolvingCreditFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Credit Facility [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TrancheATermLoanMember" xlink:type="locator" xlink:label="uhs_TrancheATermLoanMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_TrancheATermLoanMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Tranche A term loan.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TrancheATermLoanMember" xlink:to="uhs_TrancheATermLoanMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TrancheATermLoanMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tranche A Term Loan</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TrancheATermLoanMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Tranche A Term Loan [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TrancheBTermLoanMember" xlink:type="locator" xlink:label="uhs_TrancheBTermLoanMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_TrancheBTermLoanMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Tranche B term loan.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TrancheBTermLoanMember" xlink:to="uhs_TrancheBTermLoanMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TrancheBTermLoanMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tranche B Term Loan</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TrancheBTermLoanMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Tranche B Term Loan [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NewSeniorSecuredCreditFacilityMember" xlink:type="locator" xlink:label="uhs_NewSeniorSecuredCreditFacilityMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_NewSeniorSecuredCreditFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">New senior secured credit facility.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NewSeniorSecuredCreditFacilityMember" xlink:to="uhs_NewSeniorSecuredCreditFacilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_NewSeniorSecuredCreditFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">New Senior Secured Notes</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NewSeniorSecuredCreditFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">New Senior Secured Credit Facility [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TermLoanAFacilityMember" xlink:type="locator" xlink:label="uhs_TermLoanAFacilityMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_TermLoanAFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan A facility.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TermLoanAFacilityMember" xlink:to="uhs_TermLoanAFacilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TermLoanAFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term Loan A</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TermLoanAFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan A Facility [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShortTermDebtTypeAxis" xlink:type="locator" xlink:label="us-gaap_ShortTermDebtTypeAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term Debt, Type</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortTermDebtTypeAxis" xlink:to="us-gaap_ShortTermDebtTypeAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Short Term Debt Type [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShortTermDebtTypeDomain" xlink:type="locator" xlink:label="us-gaap_ShortTermDebtTypeDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term Debt, Type</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShortTermDebtTypeDomain" xlink:to="us-gaap_ShortTermDebtTypeDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Short Term Debt Type [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LetterOfCreditMember" xlink:type="locator" xlink:label="us-gaap_LetterOfCreditMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LetterOfCreditMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Letter of Credit</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LetterOfCreditMember" xlink:to="us-gaap_LetterOfCreditMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LetterOfCreditMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Letter Of Credit [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentAxis" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentAxis" xlink:to="us-gaap_DebtInstrumentAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentNameDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument, Name</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentNameDomain" xlink:to="us-gaap_DebtInstrumentNameDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Name [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableRateAxis" xlink:type="locator" xlink:label="us-gaap_VariableRateAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_VariableRateAxis" xlink:to="us-gaap_VariableRateAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableRateDomain" xlink:type="locator" xlink:label="us-gaap_VariableRateDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_VariableRateDomain" xlink:to="us-gaap_VariableRateDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OneMonthLIBORRatePlusIndexBasedLoansMember" xlink:type="locator" xlink:label="uhs_OneMonthLIBORRatePlusIndexBasedLoansMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_OneMonthLIBORRatePlusIndexBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">One month libor rate plus index based loans.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OneMonthLIBORRatePlusIndexBasedLoansMember" xlink:to="uhs_OneMonthLIBORRatePlusIndexBasedLoansMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OneMonthLIBORRatePlusIndexBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">One Month LIBOR Rate Plus Index Based Loans</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OneMonthLIBORRatePlusIndexBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">One Month L I B O R Rate Plus Index Based Loans [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember" xlink:type="locator" xlink:label="uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">One two three six month libor rate plus index based loans.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember" xlink:to="uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">One Two Three Six Month LIBOR Rate Plus Index Based Loans</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OneTwoThreeSixMonthLIBORRatePlusIndexBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">One Two Three Six Month L I B O R Rate Plus Index Based Loans [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ABRBasedLoansMember" xlink:type="locator" xlink:label="uhs_ABRBasedLoansMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_ABRBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">ABR based loans.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ABRBasedLoansMember" xlink:to="uhs_ABRBasedLoansMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_ABRBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ABR-based loans</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ABRBasedLoansMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">A B R Based Loans [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember" xlink:type="locator" xlink:label="uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Three point seven five percent senior secured notes due two thousand nineteen.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember" xlink:to="uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">3.75% Senior Secured Notes due 2019</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ThreePointSevenFivePercentSeniorSecuredNotesDueTwoThousandNineteenMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Three Point Seven Five Percent Senior Secured Notes Due Two Thousand Nineteen [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GroupSixMember" xlink:type="locator" xlink:label="uhs_GroupSixMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_GroupSixMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Group six.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GroupSixMember" xlink:to="uhs_GroupSixMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_GroupSixMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Quarterly Payment after Eight Installments Until Maturity</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GroupSixMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Group Six [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember" xlink:type="locator" xlink:label="uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Two point six five percent senior secured notes due two thousand thirty.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember" xlink:to="uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2.65% Senior Secured Notes due 2030</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TwoPointSixFivePercentSeniorSecuredNotesDueTwoThousandThirtyMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Two Point Six Five Percent Senior Secured Notes Due Two Thousand Thirty [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember" xlink:type="locator" xlink:label="uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Five point zero zero percent senior secured notes due two thousand twenty six.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember" xlink:to="uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">5.00% Senior Secured Notes due 2026</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_FivePointZeroZeroPercentSeniorSecuredNotesDueTwoThousandTwentySixMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Five Point Zero Zero Percent Senior Secured Notes Due Two Thousand Twenty Six [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember" xlink:type="locator" xlink:label="uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Four point seven five percent senior secured notes due Two thousand twenty two.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember" xlink:to="uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">4.75% Senior Secured Notes due 2022</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_FourPointSevenFivePercentSeniorSecuredNotesDueTwoThousandTwentyTwoMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Four Point Seven Five Percent Senior Secured Notes Due Two Thousand Twenty Two [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentRiskAxis" xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentRiskAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DerivativeInstrumentRiskAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Instrument</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DerivativeInstrumentRiskAxis" xlink:to="us-gaap_DerivativeInstrumentRiskAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DerivativeInstrumentRiskAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instrument Risk [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeContractTypeDomain" xlink:type="locator" xlink:label="us-gaap_DerivativeContractTypeDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DerivativeContractTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Contract</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DerivativeContractTypeDomain" xlink:to="us-gaap_DerivativeContractTypeDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DerivativeContractTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Contract Type [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ForeignExchangeForwardMember" xlink:type="locator" xlink:label="us-gaap_ForeignExchangeForwardMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ForeignExchangeForwardMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign Currency Forward Exchange Contracts</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ForeignExchangeForwardMember" xlink:to="us-gaap_ForeignExchangeForwardMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ForeignExchangeForwardMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Foreign Exchange Forward [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EquityClassOfTreasuryStockLineItems" xlink:type="locator" xlink:label="us-gaap_EquityClassOfTreasuryStockLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityClassOfTreasuryStockLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Class Of Treasury Stock [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EquityClassOfTreasuryStockLineItems" xlink:to="us-gaap_EquityClassOfTreasuryStockLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EquityClassOfTreasuryStockLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Equity Class Of Treasury Stock [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityInitiationDate1" xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityInitiationDate1" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCreditFacilityInitiationDate1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Line of credit facility, starting date</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityInitiationDate1" xlink:to="us-gaap_LineOfCreditFacilityInitiationDate1_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCreditFacilityInitiationDate1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Line Of Credit Facility Initiation Date1</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Line of credit facility, borrowing capacity</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Line Of Credit Facility Maximum Borrowing Capacity</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentMaturityDate" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentMaturityDate" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes, maturity date</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentMaturityDate" xlink:to="us-gaap_DebtInstrumentMaturityDate_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Maturity Date</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentTerm" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentTerm" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes, maturity term</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentTerm" xlink:to="us-gaap_DebtInstrumentTerm_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Term</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SeniorLongTermNotes" xlink:type="locator" xlink:label="us-gaap_SeniorLongTermNotes" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SeniorLongTermNotes_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Notes</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SeniorLongTermNotes" xlink:to="us-gaap_SeniorLongTermNotes_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SeniorLongTermNotes_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Senior Long Term Notes</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes, interest rate</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:to="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Interest Rate Stated Percentage</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:type="locator" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Line of credit facility, available borrowing capacity</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:to="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Line Of Credit Facility Remaining Borrowing Capacity</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LineOfCredit" xlink:type="locator" xlink:label="us-gaap_LineOfCredit" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCredit_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Line of credit facility amount outstanding</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LineOfCredit" xlink:to="us-gaap_LineOfCredit_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LineOfCredit_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Line Of Credit</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LettersOfCreditOutstandingAmount" xlink:type="locator" xlink:label="us-gaap_LettersOfCreditOutstandingAmount" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LettersOfCreditOutstandingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Letters of credit, outstanding</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LettersOfCreditOutstandingAmount" xlink:to="us-gaap_LettersOfCreditOutstandingAmount_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LettersOfCreditOutstandingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Letters Of Credit Outstanding Amount</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentPeriodicPaymentPrincipal" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentPeriodicPaymentPrincipal" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentPeriodicPaymentPrincipal_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Scheduled principal payments per quarter</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentPeriodicPaymentPrincipal" xlink:to="us-gaap_DebtInstrumentPeriodicPaymentPrincipal_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentPeriodicPaymentPrincipal_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Periodic Payment Principal</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentPaymentTerms" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentPaymentTerms" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentPaymentTerms_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument payment, description</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentPaymentTerms" xlink:to="us-gaap_DebtInstrumentPaymentTerms_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentPaymentTerms_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Payment Terms</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings" xlink:type="locator" xlink:label="uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings" />
    <link:label xml:lang="en-US" xlink:label="uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Rate adjustment to one month Eurodollar rate on credit facility borrowings.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings" xlink:to="uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_RateAdjustmentToFederalFundsRateWeightedAverage" xlink:type="locator" xlink:label="uhs_RateAdjustmentToFederalFundsRateWeightedAverage" />
    <link:label xml:lang="en-US" xlink:label="uhs_RateAdjustmentToFederalFundsRateWeightedAverage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Rate adjustment to federal funds rate weighted average.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_RateAdjustmentToFederalFundsRateWeightedAverage" xlink:to="uhs_RateAdjustmentToFederalFundsRateWeightedAverage_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ConsolidatedLeverageRatio" xlink:type="locator" xlink:label="uhs_ConsolidatedLeverageRatio" />
    <link:label xml:lang="en-US" xlink:label="uhs_ConsolidatedLeverageRatio_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Consolidated leverage ratio.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ConsolidatedLeverageRatio" xlink:to="uhs_ConsolidatedLeverageRatio_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_InterestRateMarginAdjustmentPercentage" xlink:type="locator" xlink:label="uhs_InterestRateMarginAdjustmentPercentage" />
    <link:label xml:lang="en-US" xlink:label="uhs_InterestRateMarginAdjustmentPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest rate margin adjustment percentage.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_InterestRateMarginAdjustmentPercentage" xlink:to="uhs_InterestRateMarginAdjustmentPercentage_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_RateAdjustmentToFederalFundsRateWeightedAverage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rate adjustment to weighted average federal funds rate for credit facility borrowings</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RateAdjustmentToFederalFundsRateWeightedAverage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Rate Adjustment To Federal Funds Rate Weighted Average</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rate adjustment to one month Eurodollar rate on credit facility borrowings</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RateAdjustmentToOneMonthEurodollarRateOnCreditFacilityBorrowings_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Rate Adjustment To One Month Eurodollar Rate On Credit Facility Borrowings</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ConsolidatedLeverageRatio_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Consolidated Leverage Ratio</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ConsolidatedLeverageRatio_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Consolidated Leverage Ratio</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_InterestRateMarginAdjustmentPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current applicable margins</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_InterestRateMarginAdjustmentPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Margin Adjustment Percentage</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_SecuritizedBorrowingsCreditFacilityBorrowingCapacity" xlink:type="locator" xlink:label="uhs_SecuritizedBorrowingsCreditFacilityBorrowingCapacity" />
    <link:label xml:lang="en-US" xlink:label="uhs_SecuritizedBorrowingsCreditFacilityBorrowingCapacity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Securitized borrowings credit facility borrowing capacity.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_SecuritizedBorrowingsCreditFacilityBorrowingCapacity" xlink:to="uhs_SecuritizedBorrowingsCreditFacilityBorrowingCapacity_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_SecuritizedBorrowingsCreditFacilityRemainingBorrowingCapacity" xlink:type="locator" xlink:label="uhs_SecuritizedBorrowingsCreditFacilityRemainingBorrowingCapacity" />
    <link:label xml:lang="en-US" xlink:label="uhs_SecuritizedBorrowingsCreditFacilityRemainingBorrowingCapacity_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Securitized borrowings credit facility remaining borrowing capacity.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_SecuritizedBorrowingsCreditFacilityRemainingBorrowingCapacity" xlink:to="uhs_SecuritizedBorrowingsCreditFacilityRemainingBorrowingCapacity_lbl" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentFaceAmount" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentFaceAmount" />
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    <link:loc xlink:href="uhs-20210630.xsd#uhs_DebtInstrumentPrincipalAmountIssuancePercentage" xlink:type="locator" xlink:label="uhs_DebtInstrumentPrincipalAmountIssuancePercentage" />
    <link:label xml:lang="en-US" xlink:label="uhs_DebtInstrumentPrincipalAmountIssuancePercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument principal amount issuance percentage.</link:label>
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    <link:loc xlink:href="uhs-20210630.xsd#uhs_DebtInstrumentYieldPercentage" xlink:type="locator" xlink:label="uhs_DebtInstrumentYieldPercentage" />
    <link:label xml:lang="en-US" xlink:label="uhs_DebtInstrumentYieldPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument yield percentage.</link:label>
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    <link:label xml:lang="en-US" xlink:label="uhs_DebtInstrumentYieldPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes yield percentage</link:label>
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    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfDaysToCompleteExchangeOffer" xlink:type="locator" xlink:label="uhs_NumberOfDaysToCompleteExchangeOffer" />
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    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfDaysToCompleteExchangeOffer_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of days to complete exchange offer</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentRepurchaseAmount" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentRepurchaseAmount" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentRepurchaseAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Repurchase Amount</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:type="locator" xlink:label="us-gaap_DebtInstrumentRedemptionPricePercentage" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_DebtInstrumentRedemptionPricePercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Redemption Price Percentage</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebt" xlink:type="locator" xlink:label="us-gaap_LongTermDebt" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LongTermDebt_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument carrying amount</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LongTermDebt" xlink:to="us-gaap_LongTermDebt_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LongTermDebt_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtFairValue" xlink:type="locator" xlink:label="us-gaap_LongTermDebtFairValue" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LongTermDebtFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of debt</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LongTermDebtFairValue" xlink:to="us-gaap_LongTermDebtFairValue_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LongTermDebtFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Fair Value</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashFlowHedgesDerivativeInstrumentsAtFairValueNet" xlink:type="locator" xlink:label="us-gaap_CashFlowHedgesDerivativeInstrumentsAtFairValueNet" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CashFlowHedgesDerivativeInstrumentsAtFairValueNet_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flow hedges</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CashFlowHedgesDerivativeInstrumentsAtFairValueNet" xlink:to="us-gaap_CashFlowHedgesDerivativeInstrumentsAtFairValueNet_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CashFlowHedgesDerivativeInstrumentsAtFairValueNet_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Cash Flow Hedges Derivative Instruments At Fair Value Net</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInOperatingCapital" xlink:type="locator" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapital" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapital_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Operating Capital</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_HedgingDesignationAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Hedging Designation [Axis]</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_HedgingDesignationDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hedging Designation</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_HedgingDesignationDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Hedging Designation [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DesignatedAsHedgingInstrumentMember" xlink:type="locator" xlink:label="us-gaap_DesignatedAsHedgingInstrumentMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DesignatedAsHedgingInstrumentMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Designated As Hedging Instrument</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DesignatedAsHedgingInstrumentMember" xlink:to="us-gaap_DesignatedAsHedgingInstrumentMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DesignatedAsHedgingInstrumentMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Designated As Hedging Instrument [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis" xlink:type="locator" xlink:label="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hedging Relationship</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instruments Gain Loss By Hedging Relationship [Axis]</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_HedgingRelationshipDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hedging Relationship</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_HedgingRelationshipDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Hedging Relationship [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetInvestmentHedgingMember" xlink:type="locator" xlink:label="us-gaap_NetInvestmentHedgingMember" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_NetInvestmentHedgingMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Investment Hedging [Member]</link:label>
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    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherNoncurrentLiabilitiesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other Noncurrent Liabilities</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OtherNoncurrentLiabilitiesMember" xlink:to="us-gaap_OtherNoncurrentLiabilitiesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OtherNoncurrentLiabilitiesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other Noncurrent Liabilities [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InvestmentTypeAxis" xlink:type="locator" xlink:label="us-gaap_InvestmentTypeAxis" />
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsFairValueDisclosureAbstract" xlink:type="locator" xlink:label="us-gaap_AssetsFairValueDisclosureAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AssetsFairValueDisclosureAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets:</link:label>
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    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsFairValueDisclosure" xlink:type="locator" xlink:label="us-gaap_AssetsFairValueDisclosure" />
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    <link:label xml:lang="en-US" xlink:label="us-gaap_GeneralLiabilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General Liability</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_GeneralLiabilityMember" xlink:to="us-gaap_GeneralLiabilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_GeneralLiabilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">General Liability [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember" xlink:type="locator" xlink:label="uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">General and professional liability insurance policies.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember" xlink:to="uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General And Professional Liability Insurance Policies</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GeneralAndProfessionalLiabilityInsurancePoliciesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">General And Professional Liability Insurance Policies [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAxis" xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Acquisition</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionAxis" xlink:to="us-gaap_BusinessAcquisitionAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionAcquireeDomain" xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Acquisition, Acquiree</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionAcquireeDomain" xlink:to="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition Acquiree [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GeneralAndProfessionalLiabilityMember" xlink:type="locator" xlink:label="uhs_GeneralAndProfessionalLiabilityMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_GeneralAndProfessionalLiabilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">General and professional liability.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GeneralAndProfessionalLiabilityMember" xlink:to="uhs_GeneralAndProfessionalLiabilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_GeneralAndProfessionalLiabilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and Professional Liability</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GeneralAndProfessionalLiabilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">General And Professional Liability [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_CygnetHealthCareLimitedMember" xlink:type="locator" xlink:label="uhs_CygnetHealthCareLimitedMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_CygnetHealthCareLimitedMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Cygnet health care limited.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_CygnetHealthCareLimitedMember" xlink:to="uhs_CygnetHealthCareLimitedMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_CygnetHealthCareLimitedMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cygnet Health Care Limited</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CygnetHealthCareLimitedMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Cygnet Health Care Limited [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilityForCatastropheClaimsByCatastrophicEventAxis" xlink:type="locator" xlink:label="us-gaap_LiabilityForCatastropheClaimsByCatastrophicEventAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilityForCatastropheClaimsByCatastrophicEventAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Catastrophic Event</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForCatastropheClaimsByCatastrophicEventAxis" xlink:to="us-gaap_LiabilityForCatastropheClaimsByCatastrophicEventAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilityForCatastropheClaimsByCatastrophicEventAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Liability For Catastrophe Claims By Catastrophic Event [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CatastrophicEventDomain" xlink:type="locator" xlink:label="us-gaap_CatastrophicEventDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CatastrophicEventDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Catastrophic Event</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CatastrophicEventDomain" xlink:to="us-gaap_CatastrophicEventDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CatastrophicEventDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Catastrophic Event [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_WindStormsMember" xlink:type="locator" xlink:label="uhs_WindStormsMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_WindStormsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Wind storms.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_WindStormsMember" xlink:to="uhs_WindStormsMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_WindStormsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wind Storms</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_WindStormsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Wind Storms [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarthquakeMember" xlink:type="locator" xlink:label="us-gaap_EarthquakeMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EarthquakeMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earthquake</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarthquakeMember" xlink:to="us-gaap_EarthquakeMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EarthquakeMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Earthquake [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FloodMember" xlink:type="locator" xlink:label="us-gaap_FloodMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_FloodMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Flood</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FloodMember" xlink:to="us-gaap_FloodMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_FloodMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Flood [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_LasVegasNevadaMember" xlink:type="locator" xlink:label="uhs_LasVegasNevadaMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_LasVegasNevadaMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Las Vegas, Nevada.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_LasVegasNevadaMember" xlink:to="uhs_LasVegasNevadaMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_LasVegasNevadaMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">LAS VEGAS, NEVADA</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LasVegasNevadaMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Las Vegas Nevada [Member]</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd#stpr_CA" xlink:type="locator" xlink:label="stpr_CA" />
    <link:label xml:lang="en-US" xlink:label="stpr_CA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CALIFORNIA</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="stpr_CA" xlink:to="stpr_CA_lbl" />
    <link:label xml:lang="en-US" xlink:label="stpr_CA_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">CALIFORNIA</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_FaultyZonesOfUSMember" xlink:type="locator" xlink:label="uhs_FaultyZonesOfUSMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_FaultyZonesOfUSMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Faulty Zones of US.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_FaultyZonesOfUSMember" xlink:to="uhs_FaultyZonesOfUSMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_FaultyZonesOfUSMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Faulty Zones of UNITED STATES</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_FaultyZonesOfUSMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Faulty Zones Of U S [Member]</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/country/2020/country-2020-01-31.xsd#country_PR" xlink:type="locator" xlink:label="country_PR" />
    <link:label xml:lang="en-US" xlink:label="country_PR_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">PUERTO RICO</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="country_PR" xlink:to="country_PR_lbl" />
    <link:label xml:lang="en-US" xlink:label="country_PR_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">PUERTO RICO</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OtherStatesMember" xlink:type="locator" xlink:label="uhs_OtherStatesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_OtherStatesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Other states.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OtherStatesMember" xlink:to="uhs_OtherStatesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OtherStatesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">OTHER STATES</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OtherStatesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other States [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_DepartmentOfHumanServicesMember" xlink:type="locator" xlink:label="uhs_DepartmentOfHumanServicesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_DepartmentOfHumanServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Department of human services.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_DepartmentOfHumanServicesMember" xlink:to="uhs_DepartmentOfHumanServicesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_DepartmentOfHumanServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Department of Human Services</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_DepartmentOfHumanServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Department Of Human Services [Member]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CommitmentsAndContingenciesDisclosureLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies Disclosure [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CommitmentsAndContingenciesDisclosureLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Commitments And Contingencies Disclosure [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SelfInsuranceReserve" xlink:type="locator" xlink:label="us-gaap_SelfInsuranceReserve" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SelfInsuranceReserve_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Self-insured for professional and general liability</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SelfInsuranceReserve" xlink:to="us-gaap_SelfInsuranceReserve_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SelfInsuranceReserve_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Self Insurance Reserve</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_SelfInsuredAmountPerOccurrence_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchased several excess policies through commercial insurance carriers per occurrence</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_SelfInsuredAmountPerOccurrence_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Self Insured Amount Per Occurrence</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_SelfInsuredAmountPerOccurrenceExcessClaims_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchased several excess policies through commercial insurance carriers per occurrence excess claim amount</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_SelfInsuredAmountPerOccurrenceExcessClaims_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Self Insured Amount Per Occurrence Excess Claims</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SelfInsuranceReserveCurrent" xlink:type="locator" xlink:label="us-gaap_SelfInsuranceReserveCurrent" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SelfInsuranceReserveCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Self-insured for professional and general liability, current</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SelfInsuranceReserveCurrent" xlink:to="us-gaap_SelfInsuranceReserveCurrent_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SelfInsuranceReserveCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Self Insurance Reserve Current</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_IncreaseDecreaseOfRevenues" xlink:type="locator" xlink:label="uhs_IncreaseDecreaseOfRevenues" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseOfRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease of revenues.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_IncreaseDecreaseOfRevenues" xlink:to="uhs_IncreaseDecreaseOfRevenues_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseOfRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Self-insured for professional and general liability</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_IncreaseDecreaseOfRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease Of Revenues</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:type="locator" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Compensation liability claims</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense" xlink:to="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Liability For Claims And Claims Adjustment Expense</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredCompensationLiabilityCurrent" xlink:type="locator" xlink:label="us-gaap_DeferredCompensationLiabilityCurrent" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredCompensationLiabilityCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Compensation and related benefits</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DeferredCompensationLiabilityCurrent" xlink:to="us-gaap_DeferredCompensationLiabilityCurrent_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DeferredCompensationLiabilityCurrent_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Compensation Liability Current</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MaximumInsuranceDeductible" xlink:type="locator" xlink:label="uhs_MaximumInsuranceDeductible" />
    <link:label xml:lang="en-US" xlink:label="uhs_MaximumInsuranceDeductible_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Maximum insurance deductible.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MaximumInsuranceDeductible" xlink:to="uhs_MaximumInsuranceDeductible_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_PercentageOfInsuranceDeductible" xlink:type="locator" xlink:label="uhs_PercentageOfInsuranceDeductible" />
    <link:label xml:lang="en-US" xlink:label="uhs_PercentageOfInsuranceDeductible_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of insurance deductible.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_PercentageOfInsuranceDeductible" xlink:to="uhs_PercentageOfInsuranceDeductible_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilityForCatastropheClaimsCarryingAmount" xlink:type="locator" xlink:label="us-gaap_LiabilityForCatastropheClaimsCarryingAmount" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilityForCatastropheClaimsCarryingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commercial property insurance policies covering catastrophic losses</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LiabilityForCatastropheClaimsCarryingAmount" xlink:to="us-gaap_LiabilityForCatastropheClaimsCarryingAmount_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LiabilityForCatastropheClaimsCarryingAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Liability For Catastrophe Claims Carrying Amount</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MaximumInsuranceDeductible_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum insurance deductible</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MaximumInsuranceDeductible_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Maximum Insurance Deductible</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PercentageOfInsuranceDeductible_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of insurance deductible</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_PercentageOfInsuranceDeductible_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Insurance Deductible</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersEarnedPremiums" xlink:type="locator" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersEarnedPremiums" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersEarnedPremiums_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property insurance</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersEarnedPremiums" xlink:to="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersEarnedPremiums_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersEarnedPremiums_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Information For Property Casualty Insurance Underwriters Earned Premiums</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_AmountClaimedFromOverPaymentsOfLegalSettlements" xlink:type="locator" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlements" />
    <link:label xml:lang="en-US" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlements_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount claimed from over payments of legal settlements.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_AmountClaimedFromOverPaymentsOfLegalSettlements" xlink:to="uhs_AmountClaimedFromOverPaymentsOfLegalSettlements_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations" xlink:type="locator" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations" />
    <link:label xml:lang="en-US" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount claimed from over payments of legal settlements due to change in calculations.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations" xlink:to="uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfBehavioralHealthCareHospitals" xlink:type="locator" xlink:label="uhs_NumberOfBehavioralHealthCareHospitals" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBehavioralHealthCareHospitals_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of behavioral health care hospitals.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NumberOfBehavioralHealthCareHospitals" xlink:to="uhs_NumberOfBehavioralHealthCareHospitals_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBehavioralHealthCareHospitals_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of behavioral health care hospitals</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBehavioralHealthCareHospitals_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Behavioral Health Care Hospitals</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsForLegalSettlements" xlink:type="locator" xlink:label="us-gaap_PaymentsForLegalSettlements" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsForLegalSettlements_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of legal settlement amount on demand</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsForLegalSettlements" xlink:to="us-gaap_PaymentsForLegalSettlements_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsForLegalSettlements_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments For Legal Settlements</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlements_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount claimed from over payments of legal settlements</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlements_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Amount Claimed From Over Payments Of Legal Settlements</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount claimed from over payments of legal settlements due to change in calculations</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AmountClaimedFromOverPaymentsOfLegalSettlementsDueToChangeInCalculations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Amount Claimed From Over Payments Of Legal Settlements Due To Change In Calculations</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GrossInpatientRevenues" xlink:type="locator" xlink:label="uhs_GrossInpatientRevenues" />
    <link:label xml:lang="en-US" xlink:label="uhs_GrossInpatientRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Gross inpatient revenues.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GrossInpatientRevenues" xlink:to="uhs_GrossInpatientRevenues_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_GrossOutpatientRevenues" xlink:type="locator" xlink:label="uhs_GrossOutpatientRevenues" />
    <link:label xml:lang="en-US" xlink:label="uhs_GrossOutpatientRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Gross outpatient revenues.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_GrossOutpatientRevenues" xlink:to="uhs_GrossOutpatientRevenues_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink:type="locator" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Segment Reporting Information By Segment [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable" xlink:to="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Segment Reporting Information By Segment [Table]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_AcuteCareHospitalServicesMember" xlink:type="locator" xlink:label="uhs_AcuteCareHospitalServicesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_AcuteCareHospitalServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Acute care hospital services.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_AcuteCareHospitalServicesMember" xlink:to="uhs_AcuteCareHospitalServicesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_AcuteCareHospitalServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acute Care Hospital Services</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_AcuteCareHospitalServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Acute Care Hospital Services [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_BehavioralHealthServicesMember" xlink:type="locator" xlink:label="uhs_BehavioralHealthServicesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Behavioral health services.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_BehavioralHealthServicesMember" xlink:to="uhs_BehavioralHealthServicesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Behavioral Health Services</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_BehavioralHealthServicesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Behavioral Health Services [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AllOtherSegmentsMember" xlink:type="locator" xlink:label="us-gaap_AllOtherSegmentsMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AllOtherSegmentsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AllOtherSegmentsMember" xlink:to="us-gaap_AllOtherSegmentsMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AllOtherSegmentsMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">All Other Segments [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SegmentReportingInformationLineItems" xlink:type="locator" xlink:label="us-gaap_SegmentReportingInformationLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SegmentReportingInformationLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Reporting Information [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SegmentReportingInformationLineItems" xlink:to="us-gaap_SegmentReportingInformationLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SegmentReportingInformationLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Information [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GrossInpatientRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross inpatient revenues</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GrossInpatientRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Gross Inpatient Revenues</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GrossOutpatientRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross outpatient revenues</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_GrossOutpatientRevenues_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Gross Outpatient Revenues</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/positiveLabel">Total net revenues</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments" xlink:type="locator" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Income/(loss) before allocation of corporate overhead and income taxes</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments" xlink:to="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Loss From Continuing Operations Before Income Taxes Minority Interest And Income Loss From Equity Method Investments</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OverheadAllocationsAdjustment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Allocation of corporate overhead</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OverheadAllocationsAdjustment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Overhead Allocations Adjustment</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_Assets_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total assets</link:label>
    <link:loc xlink:href="https://xbrl.sec.gov/country/2020/country-2020-01-31.xsd#country_GB" xlink:type="locator" xlink:label="country_GB" />
    <link:label xml:lang="en-US" xlink:label="country_GB_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Located in U.K.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="country_GB" xlink:to="country_GB_lbl" />
    <link:label xml:lang="en-US" xlink:label="country_GB_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">UNITED KINGDOM</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NetIncomeAllocatedToUnvestedRestrictedShares" xlink:type="locator" xlink:label="uhs_NetIncomeAllocatedToUnvestedRestrictedShares" />
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeAllocatedToUnvestedRestrictedShares_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Net income allocated to unvested restricted shares.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NetIncomeAllocatedToUnvestedRestrictedShares" xlink:to="uhs_NetIncomeAllocatedToUnvestedRestrictedShares_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted" xlink:type="locator" xlink:label="uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted" />
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Net income (loss) available to common stockholders, basic and diluted.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted" xlink:to="uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:type="locator" xlink:label="us-gaap_EarningsPerShareBasicAndDilutedAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EarningsPerShareBasicAndDilutedAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic and Diluted:</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EarningsPerShareBasicAndDilutedAbstract" xlink:to="us-gaap_EarningsPerShareBasicAndDilutedAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EarningsPerShareBasicAndDilutedAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share Basic And Diluted [Abstract]</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net income attributable to UHS</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeAllocatedToUnvestedRestrictedShares_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Net income attributable to unvested restricted share grants</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeAllocatedToUnvestedRestrictedShares_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Income Allocated To Unvested Restricted Shares</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net income attributable to UHS &#8211; basic and diluted</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NetIncomeLossAvailableToCommonStockholdersBasicAndDiluted_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Net Income Loss Available To Common Stockholders Basic And Diluted</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net effect of dilutive stock options and grants based on the treasury stock method</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Earnings per basic share attributable to UHS:</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Earnings per diluted share attributable to UHS:</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:type="locator" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Share Based Compensation Arrangements By Share Based Payment Award [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable" xlink:to="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Share Based Compensation Arrangements By Share Based Payment Award [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeStockOptionMember" xlink:type="locator" xlink:label="us-gaap_EmployeeStockOptionMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Options</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeStockOptionMember" xlink:to="us-gaap_EmployeeStockOptionMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeStockOptionMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Employee Stock Option [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_UnvestedStockOptionMember" xlink:type="locator" xlink:label="uhs_UnvestedStockOptionMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_UnvestedStockOptionMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Unvested stock option.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_UnvestedStockOptionMember" xlink:to="uhs_UnvestedStockOptionMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_UnvestedStockOptionMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unvested Stock option</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_UnvestedStockOptionMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Unvested Stock Option [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MarketPricePremiumMember" xlink:type="locator" xlink:label="uhs_MarketPricePremiumMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_MarketPricePremiumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Market price premium.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MarketPricePremiumMember" xlink:to="uhs_MarketPricePremiumMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_MarketPricePremiumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market Price Premium</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MarketPricePremiumMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Market Price Premium [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share-based Compensation Arrangement by Share-based Payment Award [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount" xlink:type="locator" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Anti-dilutive weighted average stock options excluded from computation of earnings per share</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount" xlink:to="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded From Computation Of Earnings Per Share Amount</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MarketPricePremiumPercentage" xlink:type="locator" xlink:label="uhs_MarketPricePremiumPercentage" />
    <link:label xml:lang="en-US" xlink:label="uhs_MarketPricePremiumPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Market price premium percentage.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MarketPricePremiumPercentage" xlink:to="uhs_MarketPricePremiumPercentage_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AllocatedShareBasedCompensationExpense" xlink:type="locator" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Compensation cost recognized, pre-tax charge</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_AllocatedShareBasedCompensationExpense" xlink:to="us-gaap_AllocatedShareBasedCompensationExpense_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Allocated Share Based Compensation Expense</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation cost related to unvested options and restricted stock</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Employee Service Share Based Compensation Nonvested Awards Total Compensation Cost Not Yet Recognized</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:type="locator" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation cost vesting period</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Employee Service Share Based Compensation Nonvested Awards Total Compensation Cost Not Yet Recognized Period For Recognition1</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock options granted during period</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Options Grants In Period</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MarketPricePremiumPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market price premium percentage</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MarketPricePremiumPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Market Price Premium Percentage</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average grant date fair value, per option</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Options Grants In Period Weighted Average Grant Date Fair Value</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted shares and restricted units granted during period</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Grants In Period</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:type="locator" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average grant date fair value, per share</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue" xlink:to="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Grants In Period Weighted Average Grant Date Fair Value</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Compensation cost recognized</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_NumberOfBedsAvailableInMicroHospital" xlink:type="locator" xlink:label="uhs_NumberOfBedsAvailableInMicroHospital" />
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBedsAvailableInMicroHospital_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of beds available in micro-hospital.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_NumberOfBedsAvailableInMicroHospital" xlink:to="uhs_NumberOfBedsAvailableInMicroHospital_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:type="locator" xlink:label="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Business Acquisitions By Acquisition [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable" xlink:to="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Business Acquisitions By Acquisition [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeAxis" xlink:type="locator" xlink:label="us-gaap_SubsequentEventTypeAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event Type</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventTypeAxis" xlink:to="us-gaap_SubsequentEventTypeAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventTypeDomain" xlink:type="locator" xlink:label="us-gaap_SubsequentEventTypeDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event Type</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventTypeDomain" xlink:to="us-gaap_SubsequentEventTypeDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_SubsequentEventMember" xlink:type="locator" xlink:label="us-gaap_SubsequentEventMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_SubsequentEventMember" xlink:to="us-gaap_SubsequentEventMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionLineItems" xlink:type="locator" xlink:label="us-gaap_BusinessAcquisitionLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_BusinessAcquisitionLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Acquisition [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_BusinessAcquisitionLineItems" xlink:to="us-gaap_BusinessAcquisitionLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_BusinessAcquisitionLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Business Acquisition [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireBusinessesGross" xlink:type="locator" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquisition, cash paid</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PaymentsToAcquireBusinessesGross" xlink:to="us-gaap_PaymentsToAcquireBusinessesGross_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PaymentsToAcquireBusinessesGross_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Payments To Acquire Businesses Gross</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBedsAvailableInMicroHospital_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of beds available in micro-hospital</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfBedsAvailableInMicroHospital_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Beds Available In Micro Hospital</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested" xlink:type="locator" xlink:label="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate cash proceeds from divestiture of businesses</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested" xlink:to="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_ProceedsFromDivestitureOfBusinessesNetOfCashDivested_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Divestiture Of Businesses Net Of Cash Divested</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DividendsAbstract" xlink:type="locator" xlink:label="us-gaap_DividendsAbstract" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DividendsAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Abstract]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DividendsAbstract" xlink:to="us-gaap_DividendsAbstract_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DividendsCommonStockCash" xlink:type="locator" xlink:label="us-gaap_DividendsCommonStockCash" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DividendsCommonStockCash_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends declared and paid</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DividendsCommonStockCash" xlink:to="us-gaap_DividendsCommonStockCash_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DividendsCommonStockCash_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Common Stock Cash</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockDividendsPerShareCashPaid" xlink:type="locator" xlink:label="us-gaap_CommonStockDividendsPerShareCashPaid" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CommonStockDividendsPerShareCashPaid_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends declared and paid, per share</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockDividendsPerShareCashPaid" xlink:to="us-gaap_CommonStockDividendsPerShareCashPaid_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_CommonStockDividendsPerShareCashPaid_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Dividends Per Share Cash Paid</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_IncomeTaxesLineItems" xlink:type="locator" xlink:label="uhs_IncomeTaxesLineItems" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncomeTaxesLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Income taxes.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_IncomeTaxesLineItems" xlink:to="uhs_IncomeTaxesLineItems_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_IncomeTaxesTable" xlink:type="locator" xlink:label="uhs_IncomeTaxesTable" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncomeTaxesTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Income taxes.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_IncomeTaxesTable" xlink:to="uhs_IncomeTaxesTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_IncomeTaxesTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes [Table]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_IncomeTaxesTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Taxes [Table]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_IncomeTaxesLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_IncomeTaxesLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Taxes [Line Items]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:type="locator" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effective income tax rate</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:to="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_EffectiveIncomeTaxRateContinuingOperations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Effective Income Tax Rate Continuing Operations</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost" xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tax benefits from employee share-based payments</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost" xlink:to="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Nondeductible Expense Share Based Compensation Cost</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential" xlink:type="locator" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase to the foreign provision</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential" xlink:to="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Reconciliation Foreign Income Tax Rate Differential</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax" xlink:type="locator" xlink:label="uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax" />
    <link:label xml:lang="en-US" xlink:label="uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Tax cuts and jobs act of 2017, incomplete accounting, global intangible low taxed income provisions, deferred tax.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax" xlink:to="uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provisional deferred tax - GILTI</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TaxCutsAndJobsActOf2017IncompleteAccountingGlobalIntangibleLowTaxedIncomeProvisionsDeferredTax_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Tax Cuts And Jobs Act Of2017 Incomplete Accounting Global Intangible Low Taxed Income Provisions Deferred Tax</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnrecognizedTaxBenefits" xlink:type="locator" xlink:label="us-gaap_UnrecognizedTaxBenefits" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized tax benefits</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_UnrecognizedTaxBenefits" xlink:to="us-gaap_UnrecognizedTaxBenefits_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate" xlink:type="locator" xlink:label="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impact of unrecognized tax benefits if recognized</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate" xlink:to="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits That Would Impact Effective Tax Rate</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations" xlink:type="locator" xlink:label="uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations" />
    <link:label xml:lang="en-US" xlink:label="uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Foreign and U.S. state and local jurisdictions statutes of limitations.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations" xlink:to="uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_StatuteOfLimitationsOnCertainJurisdictions" xlink:type="locator" xlink:label="uhs_StatuteOfLimitationsOnCertainJurisdictions" />
    <link:label xml:lang="en-US" xlink:label="uhs_StatuteOfLimitationsOnCertainJurisdictions_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Statute of limitations for certain jurisdictions.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_StatuteOfLimitationsOnCertainJurisdictions" xlink:to="uhs_StatuteOfLimitationsOnCertainJurisdictions_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod" xlink:type="locator" xlink:label="uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod" />
    <link:label xml:lang="en-US" xlink:label="uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Jurisdictions statutes of limitations expiration period.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod" xlink:to="uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued" xlink:type="locator" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest and penalties</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued" xlink:to="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Examination Penalties And Interest Accrued</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreign and U.S. state and local jurisdictions have statutes of limitations, in years</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ForeignAndUnitedStatesAndLocalJurisdictionsStatutesOfLimitations_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Foreign And United States And Local Jurisdictions Statutes Of Limitations</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_StatuteOfLimitationsOnCertainJurisdictions_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Period of expiration of the statute of limitations for certain jurisdictions</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_StatuteOfLimitationsOnCertainJurisdictions_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Statute Of Limitations On Certain Jurisdictions</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Jurisdictions statutes of limitations expiration period</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_JurisdictionsStatutesOfLimitationsExpirationPeriod_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Jurisdictions Statutes Of Limitations Expiration Period</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisaggregationOfRevenueTable" xlink:type="locator" xlink:label="us-gaap_DisaggregationOfRevenueTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DisaggregationOfRevenueTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Disaggregation Of Revenue [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DisaggregationOfRevenueTable" xlink:to="us-gaap_DisaggregationOfRevenueTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DisaggregationOfRevenueTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation Of Revenue [Table]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MedicareMember" xlink:type="locator" xlink:label="uhs_MedicareMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Medicare.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MedicareMember" xlink:to="uhs_MedicareMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Medicare</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MedicareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Medicare [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ManagedMedicareMember" xlink:type="locator" xlink:label="uhs_ManagedMedicareMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedMedicareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Managed medicare.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ManagedMedicareMember" xlink:to="uhs_ManagedMedicareMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedMedicareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Managed Medicare</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedMedicareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Managed Medicare [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_MedicaidMember" xlink:type="locator" xlink:label="uhs_MedicaidMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicaidMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Medicaid.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_MedicaidMember" xlink:to="uhs_MedicaidMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_MedicaidMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Medicaid</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_MedicaidMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Medicaid [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ManagedMedicaidMember" xlink:type="locator" xlink:label="uhs_ManagedMedicaidMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedMedicaidMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Managed medicaid.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ManagedMedicaidMember" xlink:to="uhs_ManagedMedicaidMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedMedicaidMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Managed Medicaid</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedMedicaidMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Managed Medicaid [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ManagedCareMember" xlink:type="locator" xlink:label="uhs_ManagedCareMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedCareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Managed care.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ManagedCareMember" xlink:to="uhs_ManagedCareMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedCareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Managed Care (HMO and PPOs)</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ManagedCareMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Managed Care [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_UKRevenueMember" xlink:type="locator" xlink:label="uhs_UKRevenueMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_UKRevenueMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">UK Revenue.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_UKRevenueMember" xlink:to="uhs_UKRevenueMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_UKRevenueMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">UK Revenue</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_UKRevenueMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">U K Revenue [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OtherPatientRevenueAndAdjustmentsNetMember" xlink:type="locator" xlink:label="uhs_OtherPatientRevenueAndAdjustmentsNetMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_OtherPatientRevenueAndAdjustmentsNetMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Other patient revenue and adjustments net,</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OtherPatientRevenueAndAdjustmentsNetMember" xlink:to="uhs_OtherPatientRevenueAndAdjustmentsNetMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OtherPatientRevenueAndAdjustmentsNetMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other Patient Revenue and Adjustments, Net</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OtherPatientRevenueAndAdjustmentsNetMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other Patient Revenue And Adjustments Net [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_OtherNonPatientRevenueMember" xlink:type="locator" xlink:label="uhs_OtherNonPatientRevenueMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_OtherNonPatientRevenueMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Other non-patient revenue.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_OtherNonPatientRevenueMember" xlink:to="uhs_OtherNonPatientRevenueMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_OtherNonPatientRevenueMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other Non-patient Revenue</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_OtherNonPatientRevenueMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Other Non Patient Revenue [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DisaggregationOfRevenueLineItems" xlink:type="locator" xlink:label="us-gaap_DisaggregationOfRevenueLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Disaggregation Of Revenue [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DisaggregationOfRevenueLineItems" xlink:to="us-gaap_DisaggregationOfRevenueLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation Of Revenue [Line Items]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage" xlink:type="locator" xlink:label="uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage" />
    <link:label xml:lang="en-US" xlink:label="uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Revenue from contract with customer excluding assessed tax percentage.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage" xlink:to="uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of Net Revenue</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RevenueFromContractWithCustomerExcludingAssessedTaxPercentage_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Revenue From Contract With Customer Excluding Assessed Tax Percentage</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GrantMember" xlink:type="locator" xlink:label="us-gaap_GrantMember" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_GrantMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CARES Act and Other Grant Revenue</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_GrantMember" xlink:to="us-gaap_GrantMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_GrantMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Grant [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_LeaseExpirationTerm" xlink:type="locator" xlink:label="uhs_LeaseExpirationTerm" />
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Lease expiration term.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_LeaseExpirationTerm" xlink:to="uhs_LeaseExpirationTerm_lbl" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeLeaseDescriptionTable" xlink:type="locator" xlink:label="us-gaap_LesseeLeaseDescriptionTable" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeLeaseDescriptionTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee Lease Description [Table]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LesseeLeaseDescriptionTable" xlink:to="us-gaap_LesseeLeaseDescriptionTable_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeLeaseDescriptionTable_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Lease Description [Table]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Lived Tangible Asset</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentByTypeAxis" xlink:to="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Property Plant And Equipment By Type [Axis]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:type="locator" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Lived Tangible Asset</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_PropertyPlantAndEquipmentTypeDomain" xlink:to="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Property Plant And Equipment Type [Domain]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_TwoHospitalFacilitiesMember" xlink:type="locator" xlink:label="uhs_TwoHospitalFacilitiesMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_TwoHospitalFacilitiesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Two hospital facilities.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_TwoHospitalFacilitiesMember" xlink:to="uhs_TwoHospitalFacilitiesMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_TwoHospitalFacilitiesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Two Hospital Facilities</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_TwoHospitalFacilitiesMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Two Hospital Facilities [Member]</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_ThirdHospitalFacilityMember" xlink:type="locator" xlink:label="uhs_ThirdHospitalFacilityMember" />
    <link:label xml:lang="en-US" xlink:label="uhs_ThirdHospitalFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Third hospital facility.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_ThirdHospitalFacilityMember" xlink:to="uhs_ThirdHospitalFacilityMember_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_ThirdHospitalFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Third Hospital Facilities</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_ThirdHospitalFacilityMember_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Third Hospital Facility [Member]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeLeaseDescriptionLineItems" xlink:type="locator" xlink:label="us-gaap_LesseeLeaseDescriptionLineItems" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeLeaseDescriptionLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee Lease Description [Line Items]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LesseeLeaseDescriptionLineItems" xlink:to="us-gaap_LesseeLeaseDescriptionLineItems_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeLeaseDescriptionLineItems_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Lease Description [Line Items]</link:label>
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Initial term of real estate lease</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseRenewalTerm" xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate leases option to extend lease term</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LesseeOperatingLeaseRenewalTerm" xlink:to="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseRenewalTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Renewal Term</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend" xlink:type="locator" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lessee, operating lease, existence of option to extend [true false]</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend" xlink:to="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_LesseeOperatingLeaseExistenceOfOptionToExtend_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Existence Of Option To Extend</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_NumberOfHospitalFacilities_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of hospital facilities</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease expiration term</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_LeaseExpirationTerm_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Lease Expiration Term</link:label>
    <link:loc xlink:href="uhs-20210630.xsd#uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract" xlink:type="locator" xlink:label="uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract" />
    <link:label xml:lang="en-US" xlink:label="uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash paid for amounts included in measurement of lease liabilities.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract" xlink:to="uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract_lbl" />
    <link:loc xlink:href="uhs-20210630.xsd#uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract" xlink:type="locator" xlink:label="uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract" />
    <link:label xml:lang="en-US" xlink:label="uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation">Right of use assets obtained in exchange for lease obligations.</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract" xlink:to="uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract_lbl" />
    <link:label xml:lang="en-US" xlink:label="uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for amounts included in the measurement of lease liabilities:</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_CashPaidForAmountsIncludedInMeasurementOfLeaseLiabilitiesAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Cash Paid For Amounts Included In Measurement Of Lease Liabilities [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeasePayments" xlink:type="locator" xlink:label="us-gaap_OperatingLeasePayments" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating cash flows from operating leases</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_OperatingLeasePayments" xlink:to="us-gaap_OperatingLeasePayments_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_OperatingLeasePayments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease Payments</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FinanceLeaseInterestPaymentOnLiability" xlink:type="locator" xlink:label="us-gaap_FinanceLeaseInterestPaymentOnLiability" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_FinanceLeaseInterestPaymentOnLiability_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating cash flows from finance leases</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FinanceLeaseInterestPaymentOnLiability" xlink:to="us-gaap_FinanceLeaseInterestPaymentOnLiability_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_FinanceLeaseInterestPaymentOnLiability_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Finance Lease Interest Payment On Liability</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FinanceLeasePrincipalPayments" xlink:type="locator" xlink:label="us-gaap_FinanceLeasePrincipalPayments" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_FinanceLeasePrincipalPayments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing cash flows from finance leases</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_FinanceLeasePrincipalPayments" xlink:to="us-gaap_FinanceLeasePrincipalPayments_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_FinanceLeasePrincipalPayments_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Finance Lease Principal Payments</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Right-of-use assets obtained in exchange for lease obligations:</link:label>
    <link:label xml:lang="en-US" xlink:label="uhs_RightOfUseAssetsObtainedInExchangeForLeaseObligationsAbstract_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Right Of Use Assets Obtained In Exchange For Lease Obligations [Abstract]</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability" xlink:type="locator" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating leases</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability" xlink:to="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForOperatingLeaseLiability_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Right Of Use Asset Obtained In Exchange For Operating Lease Liability</link:label>
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RightOfUseAssetObtainedInExchangeForFinanceLeaseLiability" xlink:type="locator" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForFinanceLeaseLiability" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForFinanceLeaseLiability_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finance leases</link:label>
    <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_RightOfUseAssetObtainedInExchangeForFinanceLeaseLiability" xlink:to="us-gaap_RightOfUseAssetObtainedInExchangeForFinanceLeaseLiability_lbl" />
    <link:label xml:lang="en-US" xlink:label="us-gaap_RightOfUseAssetObtainedInExchangeForFinanceLeaseLiability_lbl" xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label">Right Of Use Asset Obtained In Exchange For Finance Lease Liability</link:label>
  </link:labelLink>
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