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    <link:label id="lab_us-gaap_SegmentDomain_bf9b6c3b-f307-4e2f-aba8-0adac73b3287_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segments [Domain]</link:label>
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    <link:label id="lab_cb_Securitieslendingcollateral_a4488d4b-2e7f-4724-8f75-cb897ed47a83_terseLabel_en-US" xlink:label="lab_cb_Securitieslendingcollateral" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Securities lending collateral</link:label>
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    <link:label id="lab_cb_Securitieslendingcollateral_documentation_en-US" xlink:label="lab_cb_Securitieslendingcollateral" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The carrying amount (fair value) as of the balance sheet date of securities held that had been pledged by counterparties under financing and lending arrangements, pursuant to which the entity has the right by agreement or custom to sell or re-pledge such securities.</link:label>
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    <link:label id="lab_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_1df8273b-8c7e-4835-ac05-ae8ac0b88063_terseLabel_en-US" xlink:label="lab_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Available for sale, at amortized cost</link:label>
    <link:label id="lab_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_d243a5de-2d4e-4afa-9b10-f93708b5846a_verboseLabel_en-US" xlink:label="lab_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-for-sale, Amortized Cost</link:label>
    <link:label id="lab_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_label_en-US" xlink:label="lab_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-for-sale, Amortized Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
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    <link:label id="lab_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_c035f76c-2b16-422d-9e27-ab43c3d6fba5_terseLabel_en-US" xlink:label="lab_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Available for Sale, Gross Unrealized Appreciation</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
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    <link:label id="lab_us-gaap_StatementOfCashFlowsAbstract_ca91271f-1ba2-4f25-bff5-df50f1d28a1f_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
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    <link:label id="lab_us-gaap_CededCreditRiskLineItems_54856967-4384-46f5-807a-7dc9b30de6e3_terseLabel_en-US" xlink:label="lab_us-gaap_CededCreditRiskLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Ceded Credit Risk [Line Items]</link:label>
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    <link:label id="lab_cb_VintageAlternativeInvestmentsMember_9f330f9d-92d1-4b7c-8837-277fc519db6b_terseLabel_en-US" xlink:label="lab_cb_VintageAlternativeInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Vintage Alternative Investments [Member]</link:label>
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    <link:label id="lab_us-gaap_IncomeStatementLocationAxis_1e4694c6-a93a-4cbf-a1ff-0b7489fc3d40_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income Statement Location [Axis]</link:label>
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    <link:label id="lab_dei_EntityCommonStockSharesOutstanding_121f3924-0914-4058-b70b-c06987adfb60_terseLabel_en-US" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Shares Outstanding</link:label>
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    <link:label id="lab_cb_Accidentyears20182019Member_documentation_en-US" xlink:label="lab_cb_Accidentyears20182019Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accident years 2018 - 2019 [Member]</link:label>
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    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentNameDomain"/>
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    <link:label id="lab_srt_MinimumMember_label_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Minimum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_MinimumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MinimumMember" xlink:to="lab_srt_MinimumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BalanceSheetLocationDomain_65d00424-0046-4f36-8308-9216dd696129_terseLabel_en-US" xlink:label="lab_us-gaap_BalanceSheetLocationDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance Sheet Location [Domain]</link:label>
    <link:label id="lab_us-gaap_BalanceSheetLocationDomain_label_en-US" xlink:label="lab_us-gaap_BalanceSheetLocationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Balance Sheet Location [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BalanceSheetLocationDomain" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BalanceSheetLocationDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BalanceSheetLocationDomain" xlink:to="lab_us-gaap_BalanceSheetLocationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PremiumsWrittenNet_21410eb0-1c94-47a8-868f-422f1a4e7ae0_terseLabel_en-US" xlink:label="lab_us-gaap_PremiumsWrittenNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Net premiums written</link:label>
    <link:label id="lab_us-gaap_PremiumsWrittenNet_label_en-US" xlink:label="lab_us-gaap_PremiumsWrittenNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Premiums Written, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsWrittenNet" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PremiumsWrittenNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PremiumsWrittenNet" xlink:to="lab_us-gaap_PremiumsWrittenNet" xlink:type="arc" order="1"/>
    <link:label id="lab_cb_AccidentYear2017To2019Member_4fb36e73-2ab4-4a9e-a108-1302cf3d36fe_terseLabel_en-US" xlink:label="lab_cb_AccidentYear2017To2019Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accident Years 2017 to 2019 [Member]</link:label>
    <link:label id="lab_cb_AccidentYear2017To2019Member_label_en-US" xlink:label="lab_cb_AccidentYear2017To2019Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accident Year 2017 to 2019 [Member]</link:label>
    <link:label id="lab_cb_AccidentYear2017To2019Member_documentation_en-US" xlink:label="lab_cb_AccidentYear2017To2019Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Accident Year 2017 to 2019</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_AccidentYear2017To2019Member" xlink:href="cb-20210630.xsd#cb_AccidentYear2017To2019Member"/>
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    <link:label id="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell_0c7afa50-cb9a-4e36-97d9-32d5e6c4af7e_negatedTerseLabel_en-US" xlink:label="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-For-Sale, Credit Impairment Charges Intent to Sell</link:label>
    <link:label id="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell_label_en-US" xlink:label="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-For-Sale, Credit Impairment Charges Intent to Sell</link:label>
    <link:label id="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell_documentation_en-US" xlink:label="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Amount of credit impairment charges recognized in net realized investment gains (losses) on debt securities where no previous allowance for credit losses has been recorded, but for which the Company intends to sell the securities.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell" xlink:href="cb-20210630.xsd#cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell" xlink:to="lab_cb_DebtSecuritiesAvailableForSaleCreditImpairmentChargesIntenttoSell" xlink:type="arc" order="1"/>
    <link:label id="lab_cb_OtherDerivativeInstrumentsFairValue_7ab306df-e07d-4b07-913c-01bdc6da3fdb_terseLabel_en-US" xlink:label="lab_cb_OtherDerivativeInstrumentsFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Derivative Instruments Fair Value</link:label>
    <link:label id="lab_cb_OtherDerivativeInstrumentsFairValue_label_en-US" xlink:label="lab_cb_OtherDerivativeInstrumentsFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Derivative Instruments Fair Value</link:label>
    <link:label id="lab_cb_OtherDerivativeInstrumentsFairValue_documentation_en-US" xlink:label="lab_cb_OtherDerivativeInstrumentsFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The fair value of all other derivative instruments held by the Company.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_OtherDerivativeInstrumentsFairValue" xlink:href="cb-20210630.xsd#cb_OtherDerivativeInstrumentsFairValue"/>
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    <link:label id="lab_cb_RestrictedAssetsDepositsWithUnitedStatesRegulatoryAuthorities_520e05f0-88a6-4032-a8c2-f3cec7600be2_terseLabel_en-US" xlink:label="lab_cb_RestrictedAssetsDepositsWithUnitedStatesRegulatoryAuthorities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deposits With Non United States Regulatory Authorities</link:label>
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    <link:label id="lab_cb_RestrictedAssetsDepositsWithUnitedStatesRegulatoryAuthorities_documentation_en-US" xlink:label="lab_cb_RestrictedAssetsDepositsWithUnitedStatesRegulatoryAuthorities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Restricted assets that are deposits with US regulatory authorities.</link:label>
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    <link:label id="lab_cb_InvestmentAndEmbeddedDerivativeInstrumentsMember_df1da6b4-dae2-4667-b339-77a7584af6e3_terseLabel_en-US" xlink:label="lab_cb_InvestmentAndEmbeddedDerivativeInstrumentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total investment and embedded derivative instruments</link:label>
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    <link:label id="lab_cb_InvestmentAndEmbeddedDerivativeInstrumentsMember_documentation_en-US" xlink:label="lab_cb_InvestmentAndEmbeddedDerivativeInstrumentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total of investment and embedded derivatives.</link:label>
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    <link:label id="lab_cb_AcquisitionsAbstract_4deb9c73-9e8b-4564-aa02-808b7dc27b9e_terseLabel_en-US" xlink:label="lab_cb_AcquisitionsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Acquisitions [Abstract]</link:label>
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    <link:label id="lab_cb_AcquisitionsAbstract_documentation_en-US" xlink:label="lab_cb_AcquisitionsAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Acquisitions [Abstract]</link:label>
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    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
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    <link:label id="lab_us-gaap_BusinessAcquisitionLineItems_dcb17fd4-50b1-465b-aa47-7d2720a08397_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition [Line Items]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionLineItems_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Business Acquisition [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionLineItems" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_BusinessAcquisitionLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionLineItems" xlink:to="lab_us-gaap_BusinessAcquisitionLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfStockholdersEquityAbstract_78b99e65-b693-4c0a-9fb2-20ccc61ac335_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfStockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Statement of Stockholders' Equity [Abstract]</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfStockholdersEquityAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StatementOfStockholdersEquityAbstract"/>
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    <link:label id="lab_us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionFairValueAbstract_label_en-US" xlink:label="lab_us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionFairValueAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-for-sale, Unrealized Loss Position [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionFairValueAbstract" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleSecuritiesContinuousUnrealizedLossPositionFairValueAbstract"/>
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    <link:label id="lab_cb_ShortTailMember_documentation_en-US" xlink:label="lab_cb_ShortTailMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Short Tail [Member]</link:label>
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    <link:label id="lab_us-gaap_RetirementPlanTypeDomain_44c813a4-4c15-4383-bd26-c50a0ba9ea55_terseLabel_en-US" xlink:label="lab_us-gaap_RetirementPlanTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Retirement Plan Type [Domain]</link:label>
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    <link:label id="lab_cb_RestrictedAssetsDepositsWithNonUnitedStatesRegulatoryAuthorities_19ea07c2-3c34-4521-b9f8-6d6d93c78cea_terseLabel_en-US" xlink:label="lab_cb_RestrictedAssetsDepositsWithNonUnitedStatesRegulatoryAuthorities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Deposits with U.S. regulatory authorities</link:label>
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    <link:label id="lab_us-gaap_OperatingLeaseLiability_483d8c23-927f-46a7-900e-45d0d13c084a_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingLeaseLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Operating Lease, Liability</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingLeaseLiability" xlink:to="lab_us-gaap_OperatingLeaseLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MortgageBackedSecuritiesMember_dd51ec01-f951-4d9e-9107-ea50f9578543_terseLabel_en-US" xlink:label="lab_us-gaap_MortgageBackedSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Mortgage-backed securities</link:label>
    <link:label id="lab_us-gaap_MortgageBackedSecuritiesMember_label_en-US" xlink:label="lab_us-gaap_MortgageBackedSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Collateralized Mortgage Backed Securities [Member]</link:label>
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    <link:label id="lab_cb_SegmentLifeMember_2c975604-8407-4298-ae5f-3cd7d95d2603_terseLabel_en-US" xlink:label="lab_cb_SegmentLifeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Life [Member]</link:label>
    <link:label id="lab_cb_SegmentLifeMember_e5246a17-1358-4d9f-a65f-337150c946cc_verboseLabel_en-US" xlink:label="lab_cb_SegmentLifeMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Life Insurance [Member]</link:label>
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    <link:label id="lab_cb_SegmentLifeMember_documentation_en-US" xlink:label="lab_cb_SegmentLifeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This segment includes the operations of ACE Tempest Life Re, ACE's international life operations, and the North American supplemental accident and health and life business of Combined Insurance.</link:label>
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    <link:label id="lab_us-gaap_SegmentReportingAbstract_2c73aff2-5dfe-4b3a-848a-0b14819981fc_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentReportingAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Reporting [Abstract]</link:label>
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    <link:label id="lab_us-gaap_ShareRepurchaseProgramAxis_0bf436c8-fe93-41ae-b614-d2b21fbf8925_terseLabel_en-US" xlink:label="lab_us-gaap_ShareRepurchaseProgramAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
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    <link:label id="lab_us-gaap_StockholdersEquity_2866d2d7-0e99-40f0-a5ad-9d0b6ea25c27_totalLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Total shareholders&#8217; equity</link:label>
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    <link:label id="lab_us-gaap_StockholdersEquity_label_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Stockholders' Equity Attributable to Parent</link:label>
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    <link:label id="lab_us-gaap_PaymentsToAcquireLimitedPartnershipInterests_9dda10af-dde9-4b04-9ea0-d2844119407b_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsToAcquireLimitedPartnershipInterests" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Private equity contribution</link:label>
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    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquity_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Liabilities and Equity</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_OtherLongTermInvestmentsMember_bc32548e-9d79-41e1-938f-c13fb08941fc_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLongTermInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Investments [Member]</link:label>
    <link:label id="lab_us-gaap_OtherLongTermInvestmentsMember_label_en-US" xlink:label="lab_us-gaap_OtherLongTermInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other Long-term Investments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLongTermInvestmentsMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLongTermInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLongTermInvestmentsMember" xlink:to="lab_us-gaap_OtherLongTermInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationLiabilityTransfersIntoLevel3_29f75f98-96da-427d-acb0-7ef8ee2a4d59_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationLiabilityTransfersIntoLevel3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Transfers into level 3, liability</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationLiabilityTransfersIntoLevel3_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationLiabilityTransfersIntoLevel3" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Liability, Transfers Into Level 3</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationLiabilityTransfersIntoLevel3" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationLiabilityTransfersIntoLevel3"/>
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    <link:label id="lab_dei_EntityFilerCategory_ad074cd5-9a54-4a52-b106-65a14869fb81_terseLabel_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Filer Category</link:label>
    <link:label id="lab_dei_EntityFilerCategory_label_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Entity Filer Category</link:label>
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    <link:label id="lab_us-gaap_CommonStockMember_42a350b9-ee24-4eea-bd79-015a7e15cf97_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock [Member]</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_label_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Common Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockMember" xlink:to="lab_us-gaap_CommonStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ProductsAndServicesDomain_25817227-3efb-4b05-afad-3044b682dd16_terseLabel_en-US" xlink:label="lab_srt_ProductsAndServicesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Product and Service [Domain]</link:label>
    <link:label id="lab_srt_ProductsAndServicesDomain_label_en-US" xlink:label="lab_srt_ProductsAndServicesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Product and Service [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ProductsAndServicesDomain" xlink:href="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd#srt_ProductsAndServicesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ProductsAndServicesDomain" xlink:to="lab_srt_ProductsAndServicesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccumulatedTranslationAdjustmentMember_c2480ecf-25f0-412c-ad0c-4c95343aa2df_terseLabel_en-US" xlink:label="lab_us-gaap_AccumulatedTranslationAdjustmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Cumulative Foreign Currency Translation Adjustment [Member]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccumulatedTranslationAdjustmentMember" xlink:to="lab_us-gaap_AccumulatedTranslationAdjustmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives_312c84db-eccf-462e-b7e0-ba6db8945a76_terseLabel_en-US" xlink:label="lab_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Income Loss Including Gains Losses On Crop Derivatives</link:label>
    <link:label id="lab_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives_label_en-US" xlink:label="lab_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Income Loss Including Gains Losses On Crop Derivatives</link:label>
    <link:label id="lab_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives_documentation_en-US" xlink:label="lab_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Income Loss Including Gains Losses On Crop Derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives" xlink:href="cb-20210630.xsd#cb_SegmentIncomeLossIncludingGainsLossesOnCropDerivatives"/>
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    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome_87e20428-c736-4ca7-b11a-5524cf588613_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisLiabilityGainLossIncludedInOtherComprehensiveIncome" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Change in Net Unrealized Gains (losses) included in OCI, Liabilities</link:label>
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    <link:label id="lab_cb_InvestmentsLineItems_f7110a6c-374b-4e5e-85a6-dcaf6aa87bc8_terseLabel_en-US" xlink:label="lab_cb_InvestmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investments [Line Items]</link:label>
    <link:label id="lab_cb_InvestmentsLineItems_label_en-US" xlink:label="lab_cb_InvestmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investments [Line Items]</link:label>
    <link:label id="lab_cb_InvestmentsLineItems_documentation_en-US" xlink:label="lab_cb_InvestmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">[Line Items] for This table lists the investments. The line items identify information about all investments.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_InvestmentsLineItems" xlink:href="cb-20210630.xsd#cb_InvestmentsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_cb_InvestmentsLineItems" xlink:to="lab_cb_InvestmentsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable_3df2bd40-d9fe-42f2-8e6c-80ff2f38bcab_terseLabel_en-US" xlink:label="lab_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-for-sale, Allowance for Credit Loss [Table]</link:label>
    <link:label id="lab_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable_label_en-US" xlink:label="lab_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Debt Securities, Available-for-sale, Allowance for Credit Loss [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable" xlink:to="lab_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossTable" xlink:type="arc" order="1"/>
    <link:label id="lab_cb_SegmentInsuranceOverseasGeneralMember_878550fd-eafb-4649-9284-4d241b10a600_terseLabel_en-US" xlink:label="lab_cb_SegmentInsuranceOverseasGeneralMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Overseas General Insurance [Member]</link:label>
    <link:label id="lab_cb_SegmentInsuranceOverseasGeneralMember_label_en-US" xlink:label="lab_cb_SegmentInsuranceOverseasGeneralMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Segment Insurance Overseas General [Member]</link:label>
    <link:label id="lab_cb_SegmentInsuranceOverseasGeneralMember_documentation_en-US" xlink:label="lab_cb_SegmentInsuranceOverseasGeneralMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">This segment consists of ACE International (excluding its life insurance business), the wholesale insurance operations of ACE Global Markets, and the international A&amp;H and life insurance business of Combined Insurance.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_SegmentInsuranceOverseasGeneralMember" xlink:href="cb-20210630.xsd#cb_SegmentInsuranceOverseasGeneralMember"/>
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    <link:label id="lab_cb_InvestmentDerivativeInstrumentsFairValue_e601257b-0348-4fc5-a438-11cc1d414784_terseLabel_en-US" xlink:label="lab_cb_InvestmentDerivativeInstrumentsFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment derivative instruments, assets</link:label>
    <link:label id="lab_cb_InvestmentDerivativeInstrumentsFairValue_label_en-US" xlink:label="lab_cb_InvestmentDerivativeInstrumentsFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Investment Derivative Instruments Fair Value</link:label>
    <link:label id="lab_cb_InvestmentDerivativeInstrumentsFairValue_documentation_en-US" xlink:label="lab_cb_InvestmentDerivativeInstrumentsFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">The fair value for actively traded investment derivative instruments including futures, options, and exchange traded forward contracts reflected as an asset.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_cb_InvestmentDerivativeInstrumentsFairValue" xlink:href="cb-20210630.xsd#cb_InvestmentDerivativeInstrumentsFairValue"/>
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    <link:label id="lab_us-gaap_OtherComprehensiveIncomeLossTax_2ce39d10-bf52-46f6-bf3b-a471746c69f2_negatedLabel_en-US" xlink:label="lab_us-gaap_OtherComprehensiveIncomeLossTax" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Income tax (expense) benefit related to OCI items</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossTax" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossTax" xlink:to="lab_us-gaap_OtherComprehensiveIncomeLossTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ClassOfTreasuryStockTable_8e6fe1c2-d2dc-45f7-bb1f-2fcbf5668e6e_terseLabel_en-US" xlink:label="lab_us-gaap_ClassOfTreasuryStockTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Class of Treasury Stock [Table]</link:label>
    <link:label id="lab_us-gaap_ClassOfTreasuryStockTable_label_en-US" xlink:label="lab_us-gaap_ClassOfTreasuryStockTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Class of Treasury Stock [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfTreasuryStockTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ClassOfTreasuryStockTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ClassOfTreasuryStockTable" xlink:to="lab_us-gaap_ClassOfTreasuryStockTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable_53969437-73c1-4485-8272-e04feb057553_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable"/>
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    <link:label id="lab_cb_DistressedAlternativeInvestmentsMember_cfbc27b8-255e-4e8b-9b0a-d33e6a08f271_terseLabel_en-US" xlink:label="lab_cb_DistressedAlternativeInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distressed Alternative Investments [Member]</link:label>
    <link:label id="lab_cb_DistressedAlternativeInvestmentsMember_label_en-US" xlink:label="lab_cb_DistressedAlternativeInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Distressed Alternative Investments [Member]</link:label>
    <link:label id="lab_cb_DistressedAlternativeInvestmentsMember_documentation_en-US" xlink:label="lab_cb_DistressedAlternativeInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Consists of investments in private equity funds targeting distressed corporate debt/credit and equity opportunities in the United States</link:label>
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    <link:label id="lab_us-gaap_PolicyLoansMember_6120133f-49ef-471d-bc86-d3f9847b8c5e_terseLabel_en-US" xlink:label="lab_us-gaap_PolicyLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Policy Loans [Member]</link:label>
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    <link:label id="lab_cb_OtherMember_documentation_en-US" xlink:label="lab_cb_OtherMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Other [Member]</link:label>
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    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised_f8615f5a-d201-4e21-96ed-f4053d9687dc_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xmlns:xml="http://www.w3.org/XML/1998/namespace" xml:lang="en-US">Exercise of stock options</link:label>
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