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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019d708c-466e-7c83-8a1f-93e14ade5507,g:a8e6cd0c-5d01-439b-9be7-ff28d027d32d-->
<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" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://investors.globalindustrial.com/role/CoverPage" xlink:type="simple" xlink:href="gic-20260505.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://investors.globalindustrial.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019d708c-466e-7be8-a5f8-a40ad5d1a053" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_DocumentType_019d708c-466e-7be8-a5f8-a40ad5d1a053" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019d708c-466e-7d37-b05f-66a59b390bf5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_DocumentPeriodEndDate_019d708c-466e-7d37-b05f-66a59b390bf5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019d708c-466e-74c5-afd4-644e730d1c26" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityRegistrantName_019d708c-466e-74c5-afd4-644e730d1c26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019d708c-466e-76d3-b213-9632f432ee66" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019d708c-466e-76d3-b213-9632f432ee66" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019d708c-466e-7ed4-be58-1d3b94d0d6bb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityFileNumber_019d708c-466e-7ed4-be58-1d3b94d0d6bb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019d708c-466e-789c-8b9e-89295ee58703" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityTaxIdentificationNumber_019d708c-466e-789c-8b9e-89295ee58703" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019d708c-466e-79d8-ac1d-c2ce22f90698" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityAddressAddressLine1_019d708c-466e-79d8-ac1d-c2ce22f90698" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019d708c-466e-78c2-aa02-ff2faf09daa6" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityAddressCityOrTown_019d708c-466e-78c2-aa02-ff2faf09daa6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019d708c-466e-7cac-b743-d020201c5edd" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityAddressStateOrProvince_019d708c-466e-7cac-b743-d020201c5edd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019d708c-466e-78f0-ba12-0cd941bc2a58" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityAddressPostalZipCode_019d708c-466e-78f0-ba12-0cd941bc2a58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019d708c-466e-7905-a507-37bf6ef0e751" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_CityAreaCode_019d708c-466e-7905-a507-37bf6ef0e751" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019d708c-466e-74b1-b039-366b0b63ea4a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_LocalPhoneNumber_019d708c-466e-74b1-b039-366b0b63ea4a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019d708c-466e-75af-80f5-9b64b404d3f3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_WrittenCommunications_019d708c-466e-75af-80f5-9b64b404d3f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019d708c-466e-73d3-af12-c6f648fcfdc5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_SolicitingMaterial_019d708c-466e-73d3-af12-c6f648fcfdc5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019d708c-466e-7e02-89c0-2290334517f5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_PreCommencementTenderOffer_019d708c-466e-7e02-89c0-2290334517f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019d708c-466e-7507-ab25-ba73b61e76ee" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019d708c-466e-7507-ab25-ba73b61e76ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019d708c-466e-7e6a-8a3d-a10feb2d49c2" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_Security12bTitle_019d708c-466e-7e6a-8a3d-a10feb2d49c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019d708c-466e-7ee2-beca-291db130325b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_TradingSymbol_019d708c-466e-7ee2-beca-291db130325b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019d708c-466e-7288-99dc-e640dc5d7fcd" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_SecurityExchangeName_019d708c-466e-7288-99dc-e640dc5d7fcd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019d708c-466e-7b1f-9a01-0606977b647a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityEmergingGrowthCompany_019d708c-466e-7b1f-9a01-0606977b647a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019d708c-466e-758d-83de-cf9b5a55bd1b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_EntityCentralIndexKey_019d708c-466e-758d-83de-cf9b5a55bd1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019d708c-466e-71b7-a15f-bddf4590cbeb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019d708c-466e-7e33-ae39-efc45e1848bf" xlink:to="loc_dei_AmendmentFlag_019d708c-466e-71b7-a15f-bddf4590cbeb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
