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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019ff0f6-5ede-77ae-b401-073051a600d3,g:e84efc7b-786c-43d3-87a4-d50fe22661c2-->
<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-20260805.xsd#Cover"/>
  <link:presentationLink xlink:role="http://fhlbtopeka.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019ff0f6-5ede-7fed-aaed-a10ead5b1476" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_DocumentType_019ff0f6-5ede-7fed-aaed-a10ead5b1476" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019ff0f6-5ede-73c5-a328-4a92c4ba7ed8" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_DocumentPeriodEndDate_019ff0f6-5ede-73c5-a328-4a92c4ba7ed8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019ff0f6-5ede-7ee5-8fa4-89555925af6f" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityRegistrantName_019ff0f6-5ede-7ee5-8fa4-89555925af6f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019ff0f6-5ede-7825-968e-dec1b86c4669" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019ff0f6-5ede-7825-968e-dec1b86c4669" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019ff0f6-5ede-7adb-aeaf-c8c7aa5a0a5a" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityFileNumber_019ff0f6-5ede-7adb-aeaf-c8c7aa5a0a5a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019ff0f6-5ede-7b39-8ebe-e4deca359e40" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityTaxIdentificationNumber_019ff0f6-5ede-7b39-8ebe-e4deca359e40" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019ff0f6-5ede-70e6-96a8-1f64f6602147" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityAddressAddressLine1_019ff0f6-5ede-70e6-96a8-1f64f6602147" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019ff0f6-5ede-7070-a2dc-01dd655cb1f0" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityAddressCityOrTown_019ff0f6-5ede-7070-a2dc-01dd655cb1f0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019ff0f6-5ede-7cfb-b5e5-79977b2a897f" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityAddressStateOrProvince_019ff0f6-5ede-7cfb-b5e5-79977b2a897f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019ff0f6-5ede-7091-8460-f3d50694a391" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityAddressPostalZipCode_019ff0f6-5ede-7091-8460-f3d50694a391" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019ff0f6-5ede-7999-a5c2-370b355ba069" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_CityAreaCode_019ff0f6-5ede-7999-a5c2-370b355ba069" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019ff0f6-5ede-727b-a0d1-f3675d6ba5b6" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_LocalPhoneNumber_019ff0f6-5ede-727b-a0d1-f3675d6ba5b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019ff0f6-5ede-7963-b0d3-4c6c8a0fc1d2" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_WrittenCommunications_019ff0f6-5ede-7963-b0d3-4c6c8a0fc1d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019ff0f6-5ede-784b-a728-11c062d2f647" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_SolicitingMaterial_019ff0f6-5ede-784b-a728-11c062d2f647" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019ff0f6-5ede-7ea0-af15-3ce7d1082828" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_PreCommencementTenderOffer_019ff0f6-5ede-7ea0-af15-3ce7d1082828" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019ff0f6-5ede-7c1c-8212-8d522583f66b" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019ff0f6-5ede-7c1c-8212-8d522583f66b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019ff0f6-5ede-7a80-8221-a480ced427d4" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityEmergingGrowthCompany_019ff0f6-5ede-7a80-8221-a480ced427d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019ff0f6-5ede-71e3-8228-5c25155cfd21" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_AmendmentFlag_019ff0f6-5ede-71e3-8228-5c25155cfd21" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019ff0f6-5ede-7891-b400-53ec88a0d8a5" 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_019ff0f6-5ede-7850-8219-cf4ab8db74c6" xlink:to="loc_dei_EntityCentralIndexKey_019ff0f6-5ede-7891-b400-53ec88a0d8a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
