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<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2021-03-19T17:51:08.8210323+00:00 -->
<!-- Version            : 5.0.1.571 -->
<!-- Package ID         : 9e378733c3bb470b87e7a7e9d540c061 -->
<!-- Copyright (c) 2021 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="box_AccountingStandardsUpdate202006Member" name="AccountingStandardsUpdate202006Member" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_NumberOfRevenueSources" name="NumberOfRevenueSources" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_PeriodOfSubscriptionAndPremierServicesContracts" name="PeriodOfSubscriptionAndPremierServicesContracts" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_SalesCommissionEstimatedPeriodOfAmortizationOnStraightLineBasis" name="SalesCommissionEstimatedPeriodOfAmortizationOnStraightLineBasis" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_DeferredSalesCommissionsCosts" name="DeferredSalesCommissionsCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_HighlyLiquidInvestmentsInitialMaturityPeriod" name="HighlyLiquidInvestmentsInitialMaturityPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_ImpairmentAdjustment" name="ImpairmentAdjustment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_TaxPositionRecognizedLikelihoodPercentage" name="TaxPositionRecognizedLikelihoodPercentage" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_NovemberTwoThousandSeventeenFacilityMember" name="NovemberTwoThousandSeventeenFacilityMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_WellsFargoBankMember" name="WellsFargoBankMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_ZeroPointZeroPercentConvertibleNotesDueTwoThousandTwentySixMember" name="ZeroPointZeroPercentConvertibleNotesDueTwoThousandTwentySixMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_NetUnrealizedLossOfInterestRateSwap" name="NetUnrealizedLossOfInterestRateSwap" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_DebtInstrumentMaturityYear" name="DebtInstrumentMaturityYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_DebtInstrumentConvertibleQuotedBidPrice" name="DebtInstrumentConvertibleQuotedBidPrice" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_FinanceLeaseAccumulatedDeprecationOfPropertyAndEquipment" name="FinanceLeaseAccumulatedDeprecationOfPropertyAndEquipment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_OperatingLeaseRightOfUseAssetGross" name="OperatingLeaseRightOfUseAssetGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_OperatingLeaseRightOfUseAssetsAccumulatedAmortization" name="OperatingLeaseRightOfUseAssetsAccumulatedAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_OnPremisesSoftwareMember" name="OnPremisesSoftwareMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_CapitalizedStockBasedCompensationExpense" name="CapitalizedStockBasedCompensationExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_OperatingLeaseExpirationYear" name="OperatingLeaseExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_OtherLongTermLiabilitiesMember" name="OtherLongTermLiabilitiesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_NonCancellableLeaseExpirationYear" name="NonCancellableLeaseExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_SubleaseTerm" name="SubleaseTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_LesseeFinanceLeaseCostAbstract" name="LesseeFinanceLeaseCostAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_CashFlowOperatingAndFinancingActivitiesLesseeAbstract" name="CashFlowOperatingAndFinancingActivitiesLesseeAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_RightOfUseAssetsObtainedInExchangeOfLeaseObligationsAbstract" name="RightOfUseAssetsObtainedInExchangeOfLeaseObligationsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInNextTwelveMonths" name="OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInNextTwelveMonths" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInYearTwo" name="OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInYearTwo" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInYearThree" name="OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInYearThree" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInYearFour" name="OperatingLeasesFutureMinimumPaymentsSubleaseRentalsProceedsDueInYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_LesseeOperatingLeaseOrFinancingLeaseLeaseNotYetCommenced" name="LesseeOperatingLeaseOrFinancingLeaseLeaseNotYetCommenced" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_LesseeOperatingLeaseOrFinancingLeaseLeaseNotYetCommencedDescription" name="LesseeOperatingLeaseOrFinancingLeaseLeaseNotYetCommencedDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_CommitmentsAndContingenciesLineItems" name="CommitmentsAndContingenciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_CommitmentsAndContingenciesTable" name="CommitmentsAndContingenciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_AccountsPayableAccruedExpensesAndOtherCurrentLiabilitiesAndOtherLongTermLiabilitiesMember" name="AccountsPayableAccruedExpensesAndOtherCurrentLiabilitiesAndOtherLongTermLiabilitiesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_PrincipalAmountOfNotesUsedInConversionRate" name="PrincipalAmountOfNotesUsedInConversionRate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_ZeroPointZeroZeroPercentConvertibleSeniorNotesDueJanuaryFifteenTwoThousandTwentySixMember" name="ZeroPointZeroZeroPercentConvertibleSeniorNotesDueJanuaryFifteenTwoThousandTwentySixMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_DebtInstrumentConvertibleTermsOfConversionFeatureCircumstancesOneMember" name="DebtInstrumentConvertibleTermsOfConversionFeatureCircumstancesOneMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_DebtInstrumentConvertibleTermsOfConversionFeatureCircumstancesTwoMember" name="DebtInstrumentConvertibleTermsOfConversionFeatureCircumstancesTwoMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_DebtInstrumentRedemptionPeriodOnOrAfterJanuaryTwentyTwoThousandTwentyFourMember" name="DebtInstrumentRedemptionPeriodOnOrAfterJanuaryTwentyTwoThousandTwentyFourMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_DebtInstrumentConvertibleThresholdMaximumPercentageOfProductOfLastReportedSalePriceOfCommonStock" name="DebtInstrumentConvertibleThresholdMaximumPercentageOfProductOfLastReportedSalePriceOfCommonStock" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_DebtInstrumentConvertibleGrossCarryingAmountOfTheEquityComponent" name="DebtInstrumentConvertibleGrossCarryingAmountOfTheEquityComponent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_DebtInstrumentConvertibleEquityIssuanceCosts" name="DebtInstrumentConvertibleEquityIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_CommonStockSharesCoveredUnderCappedCallTransactions" name="CommonStockSharesCoveredUnderCappedCallTransactions" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_CostOfPurchasedCappedCalls" name="CostOfPurchasedCappedCalls" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_LeverageRatioMaximum" name="LeverageRatioMaximum" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="box_LineOfCreditFacilityMaximumBorrowingCapacitySublimit" name="LineOfCreditFacilityMaximumBorrowingCapacitySublimit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_LineOfCreditFacilityFinanceLeasesAndDebtCovenantLimit" name="LineOfCreditFacilityFinanceLeasesAndDebtCovenantLimit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_LineOfCreditFacilityAdditionalBorrowingCapacity" name="LineOfCreditFacilityAdditionalBorrowingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_TwentyFifteenEquityIncentivePlanMember" name="TwentyFifteenEquityIncentivePlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_TwentyFifteenEmployeeStockPurchasePlanMember" name="TwentyFifteenEmployeeStockPurchasePlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_FiscalTwoThousandAndTwentyExecutiveBonusPlanMember" name="FiscalTwoThousandAndTwentyExecutiveBonusPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_DescriptionOfEmployeeStockPurchasePlanOfferingPeriod" name="DescriptionOfEmployeeStockPurchasePlanOfferingPeriod" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_DescriptionOfEmployeeStockPurchasePlanOfferingPeriodResets" name="DescriptionOfEmployeeStockPurchasePlanOfferingPeriodResets" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_MaximumPercentageOfOutstandingSharesOfCommonStockForAutomaticConversionOfSharesOfClassBCommonStock" name="MaximumPercentageOfOutstandingSharesOfCommonStockForAutomaticConversionOfSharesOfClassBCommonStock" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="box_IncreaseDecreaseInCommonStockSharesAuthorized" name="IncreaseDecreaseInCommonStockSharesAuthorized" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_EarningsPerShareBasicAndDilutedLineItems" name="EarningsPerShareBasicAndDilutedLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_ScheduleOfEarningsPerShareBasicAndDilutedByCommonClassTable" name="ScheduleOfEarningsPerShareBasicAndDilutedByCommonClassTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_IncomeTaxDisclosureLineItems" name="IncomeTaxDisclosureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_IncomeTaxDisclosureTable" name="IncomeTaxDisclosureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_EffectiveIncomeTaxRateReconciliationReMeasurementOfDeferredTaxAssetsForeign" name="EffectiveIncomeTaxRateReconciliationReMeasurementOfDeferredTaxAssetsForeign" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_DeferredTaxAssetsDepreciationAndAmortization" name="DeferredTaxAssetsDepreciationAndAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_DeferredTaxAssetsOperatingLeaseLiabilities" name="DeferredTaxAssetsOperatingLeaseLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_DeferredTaxAssetsDeferredBusinessInterestExpense" name="DeferredTaxAssetsDeferredBusinessInterestExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_DeferredTaxLiabilitiesOperatingLeaseRightOfUseAssetsNet" name="DeferredTaxLiabilitiesOperatingLeaseRightOfUseAssetsNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_DeferredTaxLiabilitiesConvertibleDebt" name="DeferredTaxLiabilitiesConvertibleDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_DeferredTaxLiabilitiesDeferredCommissions" name="DeferredTaxLiabilitiesDeferredCommissions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="box_OperatingLossCarryforwardsExpirationYear" name="OperatingLossCarryforwardsExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_ResearchAndDevelopmentCreditCarryforwardExpirationYear" name="ResearchAndDevelopmentCreditCarryforwardExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="box_OperatingLossCarryforwardsWithIndefiniteExpiration" name="OperatingLossCarryforwardsWithIndefiniteExpiration" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="box_AccruedCompensationAndEmployeeBenefitsMember" name="AccruedCompensationAndEmployeeBenefitsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_SignRequestBVMember" name="SignRequestBVMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="box_CloudFastPathMember" name="CloudFastPathMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
