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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a1a191-4bba-73b7-bfb9-b234b96797ab,g:e86c2702-f88d-4c9a-94cf-7e3c5f2eb7e8-->
<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-20261028.xsd#Cover"/>
  <link:presentationLink xlink:role="http://fhlbtopeka.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a1a191-4bbb-7a4c-bd89-05a36b1708d1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_DocumentType_01a1a191-4bbb-7a4c-bd89-05a36b1708d1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a1a191-4bbb-7f5c-8a36-c70402bc1469" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_DocumentPeriodEndDate_01a1a191-4bbb-7f5c-8a36-c70402bc1469" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a1a191-4bbb-7d55-aa87-82a82eca10bc" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityRegistrantName_01a1a191-4bbb-7d55-aa87-82a82eca10bc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a1a191-4bbb-7c24-9b86-444fd6d8d0fa" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a1a191-4bbb-7c24-9b86-444fd6d8d0fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a1a191-4bbb-7298-9d08-ad3e15108675" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityFileNumber_01a1a191-4bbb-7298-9d08-ad3e15108675" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a1a191-4bbb-70ea-8bef-b81b4922133a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a1a191-4bbb-70ea-8bef-b81b4922133a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a1a191-4bbb-7fb3-8b00-185e3d7b44b1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityAddressAddressLine1_01a1a191-4bbb-7fb3-8b00-185e3d7b44b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a1a191-4bbb-7e5b-aba6-9512afb5333d" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityAddressCityOrTown_01a1a191-4bbb-7e5b-aba6-9512afb5333d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a1a191-4bbb-770e-b8b5-8b54460d4a6d" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityAddressStateOrProvince_01a1a191-4bbb-770e-b8b5-8b54460d4a6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a1a191-4bbb-7418-b1ce-23ffa521c07b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityAddressPostalZipCode_01a1a191-4bbb-7418-b1ce-23ffa521c07b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a1a191-4bbb-7206-8d7c-b1a00bbd71f8" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_CityAreaCode_01a1a191-4bbb-7206-8d7c-b1a00bbd71f8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a1a191-4bbb-7db3-a54a-3dc41b9c9a83" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_LocalPhoneNumber_01a1a191-4bbb-7db3-a54a-3dc41b9c9a83" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a1a191-4bbb-780a-b61d-06ab4a9cef15" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_WrittenCommunications_01a1a191-4bbb-780a-b61d-06ab4a9cef15" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a1a191-4bbb-73cc-9191-b074bcb0e2e4" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_SolicitingMaterial_01a1a191-4bbb-73cc-9191-b074bcb0e2e4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a1a191-4bbb-77af-83d7-052df3b58452" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_PreCommencementTenderOffer_01a1a191-4bbb-77af-83d7-052df3b58452" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a1a191-4bbb-73a6-b3e6-cb07cf72b29c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a1a191-4bbb-73a6-b3e6-cb07cf72b29c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a1a191-4bbb-7c37-a644-3c7778b6ac67" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a1a191-4bbb-7c37-a644-3c7778b6ac67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a1a191-4bbb-763a-b495-53731e892fd1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_AmendmentFlag_01a1a191-4bbb-763a-b495-53731e892fd1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a1a191-4bbb-7adb-a6e0-0c5949497a0f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1a191-4bbb-75cf-8ed4-4b30aff1d342" xlink:to="loc_dei_EntityCentralIndexKey_01a1a191-4bbb-7adb-a6e0-0c5949497a0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
