<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:a990dafa-8c9b-4c0c-9d56-b4a7bf884132,g:487b2dab-e1ce-46f4-8ea7-35cb2e68fd64-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/all" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#all"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#hypercube-dimension"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-default"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-domain"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
  <link:roleRef roleURI="http://www.greif.com/role/DocumentandEntityInformationDocumentandEntityInformation" xlink:type="simple" xlink:href="gef-20250902.xsd#DocumentandEntityInformationDocumentandEntityInformation"/>
  <link:definitionLink xlink:role="http://www.greif.com/role/DocumentandEntityInformationDocumentandEntityInformation" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentInformationLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_6d31fcf2-b30d-4f15-863b-f7e6bd01bd1b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentInformationTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_DocumentInformationTable_6d31fcf2-b30d-4f15-863b-f7e6bd01bd1b" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_c8a6de98-1f79-44f6-9a91-6f8e9ff2716d" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:from="loc_dei_DocumentInformationTable_6d31fcf2-b30d-4f15-863b-f7e6bd01bd1b" xlink:to="loc_us-gaap_StatementClassOfStockAxis_c8a6de98-1f79-44f6-9a91-6f8e9ff2716d" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_c8a6de98-1f79-44f6-9a91-6f8e9ff2716d_default" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfStockDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:from="loc_us-gaap_StatementClassOfStockAxis_c8a6de98-1f79-44f6-9a91-6f8e9ff2716d" xlink:to="loc_us-gaap_ClassOfStockDomain_c8a6de98-1f79-44f6-9a91-6f8e9ff2716d_default" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_b017a4db-5cf6-4e8a-8120-976283647b1e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfStockDomain"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:from="loc_us-gaap_StatementClassOfStockAxis_c8a6de98-1f79-44f6-9a91-6f8e9ff2716d" xlink:to="loc_us-gaap_ClassOfStockDomain_b017a4db-5cf6-4e8a-8120-976283647b1e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonClassAMember_06ffb272-767a-48d3-9944-2cbed5206631" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonClassAMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockDomain_b017a4db-5cf6-4e8a-8120-976283647b1e" xlink:to="loc_us-gaap_CommonClassAMember_06ffb272-767a-48d3-9944-2cbed5206631" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonClassBMember_c71434a8-e1f1-4640-885f-a59bae1b390e" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonClassBMember"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_us-gaap_ClassOfStockDomain_b017a4db-5cf6-4e8a-8120-976283647b1e" xlink:to="loc_us-gaap_CommonClassBMember_c71434a8-e1f1-4640-885f-a59bae1b390e" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_32521815-11b5-4072-aac9-11d7c1ea3c40" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_DocumentType_32521815-11b5-4072-aac9-11d7c1ea3c40" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_a0d6c924-3a4e-4c38-b7d1-5129bc151986" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_DocumentPeriodEndDate_a0d6c924-3a4e-4c38-b7d1-5129bc151986" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_d70cc995-363a-4d99-b24f-2b0cccfca1d7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityRegistrantName_d70cc995-363a-4d99-b24f-2b0cccfca1d7" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_4b26f409-39e6-4309-b276-5076b7d066d4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityIncorporationStateCountryCode_4b26f409-39e6-4309-b276-5076b7d066d4" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_f6c6ef5f-c866-4397-b583-b0b178e584ff" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityFileNumber_f6c6ef5f-c866-4397-b583-b0b178e584ff" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_0e451fe7-515e-4fa8-847c-fb6b02dad833" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityTaxIdentificationNumber_0e451fe7-515e-4fa8-847c-fb6b02dad833" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_3ee3e6ae-6459-4a67-9a38-b22879d4f7e2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityAddressAddressLine1_3ee3e6ae-6459-4a67-9a38-b22879d4f7e2" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_b35abca1-ae88-4926-bcf1-393c8e6642cd" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityAddressCityOrTown_b35abca1-ae88-4926-bcf1-393c8e6642cd" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_62db3244-440f-421c-881d-fa5081fa9817" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityAddressStateOrProvince_62db3244-440f-421c-881d-fa5081fa9817" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_015558d7-0032-46a7-925f-22956475b3e9" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityAddressPostalZipCode_015558d7-0032-46a7-925f-22956475b3e9" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_d9619878-e8f8-469a-860b-5a11d304fe9b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_CityAreaCode_d9619878-e8f8-469a-860b-5a11d304fe9b" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_e9771eb9-151a-4f73-ad31-310bf91ad0eb" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_LocalPhoneNumber_e9771eb9-151a-4f73-ad31-310bf91ad0eb" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_0f112e75-24a8-4f3c-acad-13d4d68308dc" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityEmergingGrowthCompany_0f112e75-24a8-4f3c-acad-13d4d68308dc" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_81c83e4a-e7eb-4a3f-b6c1-75bfe83b212c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_Security12bTitle_81c83e4a-e7eb-4a3f-b6c1-75bfe83b212c" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_98fa4291-00ef-4931-bbe5-bca38e4a37bd" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_TradingSymbol_98fa4291-00ef-4931-bbe5-bca38e4a37bd" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_544f2132-8433-487f-81dd-d792bc513b1b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_SecurityExchangeName_544f2132-8433-487f-81dd-d792bc513b1b" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_cce5daa0-078d-4242-b20e-508e9555fef6" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_WrittenCommunications_cce5daa0-078d-4242-b20e-508e9555fef6" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_a3f959f1-52ce-40a4-8d1d-b74a7dde8772" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_SolicitingMaterial_a3f959f1-52ce-40a4-8d1d-b74a7dde8772" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_0dbe2ac5-a828-477f-b67b-860f6aff5775" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_PreCommencementTenderOffer_0dbe2ac5-a828-477f-b67b-860f6aff5775" xlink:type="arc" order="18"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_7366f758-f85d-4e9d-822e-9683997e2d56" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_7366f758-f85d-4e9d-822e-9683997e2d56" xlink:type="arc" order="19"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_8e052e92-f620-4b54-bfd1-66c12f7be113" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_EntityCentralIndexKey_8e052e92-f620-4b54-bfd1-66c12f7be113" xlink:type="arc" order="20"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_4e4296dd-0caf-4350-9dc9-5e9512c3eb2b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_DocumentInformationLineItems_0be83ba0-69b5-4fef-89e8-22c93ef76ef7" xlink:to="loc_dei_AmendmentFlag_4e4296dd-0caf-4350-9dc9-5e9512c3eb2b" xlink:type="arc" order="21"/>
  </link:definitionLink>
</link:linkbase>
