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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019f608f-774a-70fd-b656-77b04879350d,g:207ac7b1-ff60-4c90-888f-1a1d749be694-->
<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-20260708.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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInformationLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitiesTable_019f608f-774a-7475-a247-5449b824301a" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntitiesTable_019f608f-774a-7475-a247-5449b824301a" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019f608f-774a-7a47-bb3e-213802e0bb9a" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_DocumentType_019f608f-774a-7a47-bb3e-213802e0bb9a" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019f608f-774a-7ca0-a656-f1a584d3a722" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_DocumentPeriodEndDate_019f608f-774a-7ca0-a656-f1a584d3a722" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019f608f-774a-76c4-8451-e976d4cf64ef" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityRegistrantName_019f608f-774a-76c4-8451-e976d4cf64ef" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019f608f-774a-7ccf-95c5-be33526b8cef" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityCentralIndexKey_019f608f-774a-7ccf-95c5-be33526b8cef" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019f608f-774a-78e7-b277-3cd13aa9e4f1" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityFileNumber_019f608f-774a-78e7-b277-3cd13aa9e4f1" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019f608f-774a-7bc4-9570-a26c00be1f0c" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityTaxIdentificationNumber_019f608f-774a-7bc4-9570-a26c00be1f0c" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019f608f-774a-78d4-9c11-6675147bfb05" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityAddressAddressLine1_019f608f-774a-78d4-9c11-6675147bfb05" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019f608f-774a-79c4-bcac-72bf2e7154fa" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityAddressCityOrTown_019f608f-774a-79c4-bcac-72bf2e7154fa" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019f608f-774a-7501-ac5b-2ee7502efcef" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019f608f-774a-7501-ac5b-2ee7502efcef" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019f608f-774a-78ca-b28d-0fa28763a98e" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityAddressStateOrProvince_019f608f-774a-78ca-b28d-0fa28763a98e" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019f608f-774a-705b-9eff-dd707bc06de4" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityAddressPostalZipCode_019f608f-774a-705b-9eff-dd707bc06de4" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019f608f-774a-7452-b2e3-4ce78d480bba" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_WrittenCommunications_019f608f-774a-7452-b2e3-4ce78d480bba" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019f608f-774a-7574-8e73-ad1c953059b4" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_SolicitingMaterial_019f608f-774a-7574-8e73-ad1c953059b4" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019f608f-774a-71e7-b24c-b1acb4f6fb49" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_PreCommencementTenderOffer_019f608f-774a-71e7-b24c-b1acb4f6fb49" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019f608f-774a-7027-89a9-a7e006ca39a7" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019f608f-774a-7027-89a9-a7e006ca39a7" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019f608f-774a-7d2c-ba92-eea43b30dd16" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_CityAreaCode_019f608f-774a-7d2c-ba92-eea43b30dd16" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019f608f-774a-7e77-8cbd-35156e558d04" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_EntityEmergingGrowthCompany_019f608f-774a-7e77-8cbd-35156e558d04" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019f608f-774a-7207-b487-0cdbdae99c58" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_LocalPhoneNumber_019f608f-774a-7207-b487-0cdbdae99c58" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019f608f-774a-79fc-90f7-f9ae79a5eab4" 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_019f608f-774a-7ba4-959d-6e4954cd9fd2" xlink:to="loc_dei_AmendmentFlag_019f608f-774a-79fc-90f7-f9ae79a5eab4" xlink:type="arc" order="18"/>
  </link:definitionLink>
</link:linkbase>
