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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a111bd-31c2-7890-9a7e-d1e4cdafc01a,g:b3fb5e14-be55-4f5a-b416-9b6b882d8b22-->
<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-20261001.xsd#Cover"/>
  <link:presentationLink xlink:role="http://fhlbtopeka.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a111bd-31c2-7a21-b30d-ee35dcf31ae4" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_DocumentType_01a111bd-31c2-7a21-b30d-ee35dcf31ae4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a111bd-31c2-7d73-b016-5381c29b6ad9" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_DocumentPeriodEndDate_01a111bd-31c2-7d73-b016-5381c29b6ad9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a111bd-31c2-7f52-ad89-b2b9ef8a4071" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityRegistrantName_01a111bd-31c2-7f52-ad89-b2b9ef8a4071" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a111bd-31c2-7620-bd1d-b26667ea4f43" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a111bd-31c2-7620-bd1d-b26667ea4f43" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a111bd-31c2-76ae-9a33-17a7eebee449" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityFileNumber_01a111bd-31c2-76ae-9a33-17a7eebee449" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a111bd-31c2-7d96-a2ea-82943cf47e75" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a111bd-31c2-7d96-a2ea-82943cf47e75" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a111bd-31c2-7465-8701-e833e4baddcc" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityAddressAddressLine1_01a111bd-31c2-7465-8701-e833e4baddcc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a111bd-31c2-77d9-a879-59faa3cc57d8" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityAddressCityOrTown_01a111bd-31c2-77d9-a879-59faa3cc57d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a111bd-31c2-748d-9b08-68ebbb1c7355" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityAddressStateOrProvince_01a111bd-31c2-748d-9b08-68ebbb1c7355" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a111bd-31c2-72bc-9520-d2c6c56939ca" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityAddressPostalZipCode_01a111bd-31c2-72bc-9520-d2c6c56939ca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a111bd-31c2-7987-bbe7-30692f288d00" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_CityAreaCode_01a111bd-31c2-7987-bbe7-30692f288d00" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a111bd-31c2-75be-a5d2-b84226585857" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_LocalPhoneNumber_01a111bd-31c2-75be-a5d2-b84226585857" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a111bd-31c2-7e37-9879-4882f118d012" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_WrittenCommunications_01a111bd-31c2-7e37-9879-4882f118d012" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a111bd-31c2-74e5-b74f-dab17ed13eea" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_SolicitingMaterial_01a111bd-31c2-74e5-b74f-dab17ed13eea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a111bd-31c2-7b41-82d2-237a0c8d3be2" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_PreCommencementTenderOffer_01a111bd-31c2-7b41-82d2-237a0c8d3be2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a111bd-31c2-79bb-af33-74cc70acbc49" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a111bd-31c2-79bb-af33-74cc70acbc49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a111bd-31c2-7e49-be01-b4eccde975f5" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a111bd-31c2-7e49-be01-b4eccde975f5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a111bd-31c2-7850-b88d-6acbc5dda256" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_AmendmentFlag_01a111bd-31c2-7850-b88d-6acbc5dda256" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a111bd-31c2-7fb0-83f8-34517d4dc873" 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_01a111bd-31c2-7bdc-bc0c-467cb8d970cb" xlink:to="loc_dei_EntityCentralIndexKey_01a111bd-31c2-7fb0-83f8-34517d4dc873" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
