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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019fccf9-5f85-7353-8ac8-c8edbcf2c893,g:180a08a4-4866-4c7e-b9e0-c6c24cf75860-->
<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://fhlbtopeka.com/role/Cover" xlink:type="simple" xlink:href="fhlbt-20260729.xsd#Cover"/>
  <link:presentationLink xlink:role="http://fhlbtopeka.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019fccf9-5f85-7704-af8a-c647466b7545" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019fccf9-5f85-7a40-8578-9b4154c0da18" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_DocumentType_019fccf9-5f85-7a40-8578-9b4154c0da18" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019fccf9-5f85-7738-8279-2f5639afd16b" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_DocumentPeriodEndDate_019fccf9-5f85-7738-8279-2f5639afd16b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019fccf9-5f85-7b08-a633-2385c55d5f7f" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityRegistrantName_019fccf9-5f85-7b08-a633-2385c55d5f7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019fccf9-5f85-7f04-8810-a1c717eb8884" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019fccf9-5f85-7f04-8810-a1c717eb8884" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019fccf9-5f85-7276-8b6e-d0711429059f" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityFileNumber_019fccf9-5f85-7276-8b6e-d0711429059f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019fccf9-5f85-7d19-aaf7-e1a1957adf31" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityTaxIdentificationNumber_019fccf9-5f85-7d19-aaf7-e1a1957adf31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019fccf9-5f85-7af7-8513-6ce283d602fd" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityAddressAddressLine1_019fccf9-5f85-7af7-8513-6ce283d602fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019fccf9-5f85-7b13-85b3-0f2afeac6265" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityAddressCityOrTown_019fccf9-5f85-7b13-85b3-0f2afeac6265" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019fccf9-5f85-7101-b4d6-24114768eeea" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityAddressStateOrProvince_019fccf9-5f85-7101-b4d6-24114768eeea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019fccf9-5f85-7d24-b76f-df4ee0dab980" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityAddressPostalZipCode_019fccf9-5f85-7d24-b76f-df4ee0dab980" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019fccf9-5f85-77b1-a4c1-d55625d01c5e" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_CityAreaCode_019fccf9-5f85-77b1-a4c1-d55625d01c5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019fccf9-5f85-794e-8023-74125890b703" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_LocalPhoneNumber_019fccf9-5f85-794e-8023-74125890b703" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019fccf9-5f85-7efc-bfde-748a7a11c903" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_WrittenCommunications_019fccf9-5f85-7efc-bfde-748a7a11c903" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019fccf9-5f85-71e7-8a2c-3226bd023e11" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_SolicitingMaterial_019fccf9-5f85-71e7-8a2c-3226bd023e11" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019fccf9-5f85-7118-96d1-a194f7d13396" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_PreCommencementTenderOffer_019fccf9-5f85-7118-96d1-a194f7d13396" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019fccf9-5f85-70b5-b4ff-c7b100858a32" 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_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019fccf9-5f85-70b5-b4ff-c7b100858a32" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019fccf9-5f85-7164-ac7e-c6f2388fe9a4" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityEmergingGrowthCompany_019fccf9-5f85-7164-ac7e-c6f2388fe9a4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019fccf9-5f85-7936-b1d1-ccd7929dc20d" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_AmendmentFlag_019fccf9-5f85-7936-b1d1-ccd7929dc20d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019fccf9-5f85-797e-bdd5-8b444c10e8ac" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019fccf9-5f85-7704-af8a-c647466b7545" xlink:to="loc_dei_EntityCentralIndexKey_019fccf9-5f85-797e-bdd5-8b444c10e8ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
