<?xml version="1.0" encoding="us-ascii"?>
<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2021-04-08T18:23:27.3056018+00:00 -->
<!-- Version            : 5.0.1.571 -->
<!-- Package ID         : 598100473113451891baedbd83c48307 -->
<!-- Copyright (c) 2021 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="snx_RelatedPartyOwnershipPercentageOfEntity" name="RelatedPartyOwnershipPercentageOfEntity" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="snx_MiTACHoldingsMember" name="MiTACHoldingsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_RelatedPartyTransactionOwnershipNumberOfShares" name="RelatedPartyTransactionOwnershipNumberOfShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="snx_SynnexTechnologyInternationalCorpMember" name="SynnexTechnologyInternationalCorpMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_ChairmanEmeritusThroughCharitableRemainderTrustMember" name="ChairmanEmeritusThroughCharitableRemainderTrustMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_MatthewMiauSpouseMember" name="MatthewMiauSpouseMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_MiTACIncorporatedMember" name="MiTACIncorporatedMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_A2020ShareRepurchaseProgramMember" name="A2020ShareRepurchaseProgramMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_LesseeOperatingLeaseCommencementMonthYear" name="LesseeOperatingLeaseCommencementMonthYear" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="snx_LeaseExpirationPeriod" name="LeaseExpirationPeriod" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="snx_TechDataCorporationMember" name="TechDataCorporationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_MergerAgreementMember" name="MergerAgreementMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_ThreeHundredAndSixtyFourDaySeniorUnsecuredTermBridgeFacilityMember" name="ThreeHundredAndSixtyFourDaySeniorUnsecuredTermBridgeFacilityMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_ThreeHundredAndSixtyFourDaySeniorUnsecuredRevolvingCreditFacilityMember" name="ThreeHundredAndSixtyFourDaySeniorUnsecuredRevolvingCreditFacilityMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_DebtCommitmentLetterMember" name="DebtCommitmentLetterMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="snx_CitigroupGlobalMarketsIncMember" name="CitigroupGlobalMarketsIncMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
