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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019fb30f-5cf8-7d0b-9610-41aca852fdf0,g:e464de4b-7185-47c2-b2dd-780dd4235ada-->
<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" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/all" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#all"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/hypercube-dimension" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#hypercube-dimension"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-default" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-default"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/dimension-domain" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#dimension-domain"/>
  <link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
  <link:roleRef roleURI="http://www.fhlbi.com/role/Cover" xlink:type="simple" xlink:href="fhlbi-20260727.xsd#Cover"/>
  <link:definitionLink xlink:role="http://www.fhlbi.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInformationLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitiesTable_019fb30f-5cf8-743f-8c09-c9cf77abcfea" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntitiesTable"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/all" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntitiesTable_019fb30f-5cf8-743f-8c09-c9cf77abcfea" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019fb30f-5cf8-78aa-857e-423c0ff8e1e8" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_DocumentType_019fb30f-5cf8-78aa-857e-423c0ff8e1e8" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019fb30f-5cf8-7411-a71c-560c9eed4fd7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_DocumentPeriodEndDate_019fb30f-5cf8-7411-a71c-560c9eed4fd7" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019fb30f-5cf8-758b-8019-e32583e485f5" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityRegistrantName_019fb30f-5cf8-758b-8019-e32583e485f5" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019fb30f-5cf8-7d18-aa5a-ee7ed0dc98e3" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityCentralIndexKey_019fb30f-5cf8-7d18-aa5a-ee7ed0dc98e3" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019fb30f-5cf8-7ca9-8172-ac9f446440cd" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityFileNumber_019fb30f-5cf8-7ca9-8172-ac9f446440cd" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019fb30f-5cf8-77ce-8e2c-aaf7c7eaa6aa" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityTaxIdentificationNumber_019fb30f-5cf8-77ce-8e2c-aaf7c7eaa6aa" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019fb30f-5cf8-7bc9-823c-951742fb4076" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityAddressAddressLine1_019fb30f-5cf8-7bc9-823c-951742fb4076" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019fb30f-5cf8-7eea-b97d-7d876649b551" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityAddressCityOrTown_019fb30f-5cf8-7eea-b97d-7d876649b551" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019fb30f-5cf8-7889-b4ec-f68479873242" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019fb30f-5cf8-7889-b4ec-f68479873242" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019fb30f-5cf8-7ec6-9472-d21765b083cb" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityAddressStateOrProvince_019fb30f-5cf8-7ec6-9472-d21765b083cb" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019fb30f-5cf8-7e01-bc0a-2d2cc51b4a91" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityAddressPostalZipCode_019fb30f-5cf8-7e01-bc0a-2d2cc51b4a91" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019fb30f-5cf8-74e1-b2eb-82421ad97b28" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_WrittenCommunications_019fb30f-5cf8-74e1-b2eb-82421ad97b28" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019fb30f-5cf8-7bf4-b27e-17e5dc931fc0" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_SolicitingMaterial_019fb30f-5cf8-7bf4-b27e-17e5dc931fc0" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019fb30f-5cf8-7597-bcf6-982a7b2a9571" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_PreCommencementTenderOffer_019fb30f-5cf8-7597-bcf6-982a7b2a9571" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019fb30f-5cf8-78f1-9c6b-ad9f79579e10" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019fb30f-5cf8-78f1-9c6b-ad9f79579e10" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019fb30f-5cf8-7446-9a8d-21befe4b1c9b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_CityAreaCode_019fb30f-5cf8-7446-9a8d-21befe4b1c9b" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019fb30f-5cf8-779a-b297-073caffb1d2c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_EntityEmergingGrowthCompany_019fb30f-5cf8-779a-b297-073caffb1d2c" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019fb30f-5cf8-780e-afe0-09052eebcbe2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_LocalPhoneNumber_019fb30f-5cf8-780e-afe0-09052eebcbe2" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019fb30f-5cf8-7eb8-8c9a-41fda6a2aa13" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:definitionArc xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="loc_dei_EntityInformationLineItems_019fb30f-5cf8-77a5-b6a5-47ef33a37270" xlink:to="loc_dei_AmendmentFlag_019fb30f-5cf8-7eb8-8c9a-41fda6a2aa13" xlink:type="arc" order="18"/>
  </link:definitionLink>
</link:linkbase>
