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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a0c99e-41ce-7ba7-b2f8-cf2803829dfe,g:a4289827-4c0f-445d-b0c2-64e9cdbabdab-->
<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-20260916.xsd#Cover"/>
  <link:presentationLink xlink:role="http://fhlbtopeka.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a0c99e-41cf-7e22-9927-8d235e221b19" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_DocumentType_01a0c99e-41cf-7e22-9927-8d235e221b19" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a0c99e-41cf-7bff-bcbc-f1666426aa43" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_DocumentPeriodEndDate_01a0c99e-41cf-7bff-bcbc-f1666426aa43" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a0c99e-41cf-76eb-88c6-cc9f76e5e312" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityRegistrantName_01a0c99e-41cf-76eb-88c6-cc9f76e5e312" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a0c99e-41cf-7227-83a2-25a767c54cea" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a0c99e-41cf-7227-83a2-25a767c54cea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a0c99e-41cf-73ab-b249-38f2a74a489a" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityFileNumber_01a0c99e-41cf-73ab-b249-38f2a74a489a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a0c99e-41cf-7b1f-867c-a2d89f921c80" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a0c99e-41cf-7b1f-867c-a2d89f921c80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a0c99e-41cf-791b-9fea-55ae09321a27" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityAddressAddressLine1_01a0c99e-41cf-791b-9fea-55ae09321a27" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a0c99e-41cf-79c3-a527-6ade783d4b5d" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityAddressCityOrTown_01a0c99e-41cf-79c3-a527-6ade783d4b5d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a0c99e-41cf-7612-ba69-97739708291f" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityAddressStateOrProvince_01a0c99e-41cf-7612-ba69-97739708291f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a0c99e-41cf-70aa-8ec4-1510ab728b9b" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityAddressPostalZipCode_01a0c99e-41cf-70aa-8ec4-1510ab728b9b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a0c99e-41cf-7f88-a223-bd1a8f713c6b" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_CityAreaCode_01a0c99e-41cf-7f88-a223-bd1a8f713c6b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a0c99e-41cf-7939-8dad-a3e7962c5a58" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_LocalPhoneNumber_01a0c99e-41cf-7939-8dad-a3e7962c5a58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a0c99e-41cf-784e-864a-bc13decc2ee9" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_WrittenCommunications_01a0c99e-41cf-784e-864a-bc13decc2ee9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a0c99e-41cf-7fe6-8759-cb7cb836d672" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_SolicitingMaterial_01a0c99e-41cf-7fe6-8759-cb7cb836d672" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a0c99e-41cf-703c-a5fd-7971940e39b8" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_PreCommencementTenderOffer_01a0c99e-41cf-703c-a5fd-7971940e39b8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a0c99e-41cf-736c-84de-c08d4960be94" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a0c99e-41cf-736c-84de-c08d4960be94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a0c99e-41cf-744d-983a-395ebd27017b" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a0c99e-41cf-744d-983a-395ebd27017b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a0c99e-41cf-7efd-b9d9-358f85a725ed" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_AmendmentFlag_01a0c99e-41cf-7efd-b9d9-358f85a725ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a0c99e-41cf-7c4c-af88-8a76d30dc408" 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_01a0c99e-41cf-7dc2-bbf6-6a6f3c14d9c1" xlink:to="loc_dei_EntityCentralIndexKey_01a0c99e-41cf-7c4c-af88-8a76d30dc408" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
