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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a0a60c-0aad-7e63-91d3-3f8ab905aec7,g:c0d7afc6-d32c-440f-82b7-2a0690daadb0-->
<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-20260909.xsd#Cover"/>
  <link:presentationLink xlink:role="http://fhlbtopeka.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a0a60c-0aad-7d0c-9a19-03bdd8cd54e1" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_DocumentType_01a0a60c-0aad-7d0c-9a19-03bdd8cd54e1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a0a60c-0aad-7ea9-9ba7-8db4d5e86324" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_DocumentPeriodEndDate_01a0a60c-0aad-7ea9-9ba7-8db4d5e86324" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a0a60c-0aad-7c91-86f1-c2fea5be3119" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityRegistrantName_01a0a60c-0aad-7c91-86f1-c2fea5be3119" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a0a60c-0aad-75cb-a163-efc91c95573d" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a0a60c-0aad-75cb-a163-efc91c95573d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a0a60c-0aad-74ca-9119-1c37482ceb90" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityFileNumber_01a0a60c-0aad-74ca-9119-1c37482ceb90" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a0a60c-0aad-7188-aab2-9cbe22b5ac92" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a0a60c-0aad-7188-aab2-9cbe22b5ac92" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a0a60c-0aad-7cd7-bcfa-3d2d97cad69d" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityAddressAddressLine1_01a0a60c-0aad-7cd7-bcfa-3d2d97cad69d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a0a60c-0aad-7992-8e10-25bae05aaaab" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityAddressCityOrTown_01a0a60c-0aad-7992-8e10-25bae05aaaab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a0a60c-0aad-72e8-a6a8-2d1f079e956c" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityAddressStateOrProvince_01a0a60c-0aad-72e8-a6a8-2d1f079e956c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a0a60c-0aad-7369-9dae-be092bac7339" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityAddressPostalZipCode_01a0a60c-0aad-7369-9dae-be092bac7339" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a0a60c-0aad-7b11-88db-3ca0aac01b03" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_CityAreaCode_01a0a60c-0aad-7b11-88db-3ca0aac01b03" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a0a60c-0aad-792e-8986-b376a2eb4e49" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_LocalPhoneNumber_01a0a60c-0aad-792e-8986-b376a2eb4e49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a0a60c-0aad-72af-a103-b875613904b8" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_WrittenCommunications_01a0a60c-0aad-72af-a103-b875613904b8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a0a60c-0aad-7179-9ab6-17a70967e277" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_SolicitingMaterial_01a0a60c-0aad-7179-9ab6-17a70967e277" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a0a60c-0aad-7d96-abdc-40c218257c2f" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_PreCommencementTenderOffer_01a0a60c-0aad-7d96-abdc-40c218257c2f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a0a60c-0aad-78ab-8edf-d8c3f1a1ef91" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a0a60c-0aad-78ab-8edf-d8c3f1a1ef91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a0a60c-0aad-75d1-8399-97c181148a45" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a0a60c-0aad-75d1-8399-97c181148a45" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a0a60c-0aad-7f57-8988-452f4b117040" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_AmendmentFlag_01a0a60c-0aad-7f57-8988-452f4b117040" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a0a60c-0aad-7ba2-ab6f-a909971b729d" 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_01a0a60c-0aad-77d8-98f3-b5ad24c4c983" xlink:to="loc_dei_EntityCentralIndexKey_01a0a60c-0aad-7ba2-ab6f-a909971b729d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
