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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a0ed95-8911-7f14-b815-70f8bb8fbbb4,g:b1213708-c234-4bde-aef8-8e92c81efaf8-->
<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-20260924.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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInformationLineItems"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitiesTable_01a0ed95-8911-798a-9a04-3eb5a1552f20" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntitiesTable_01a0ed95-8911-798a-9a04-3eb5a1552f20" xlink:type="arc" order="1" xbrldt:closed="true" xbrldt:contextElement="segment"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a0ed95-8911-792a-b6a1-4bf4e55d601f" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_DocumentType_01a0ed95-8911-792a-b6a1-4bf4e55d601f" xlink:type="arc" order="0"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a0ed95-8911-7ece-9cd4-bc8d9989c2cb" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_DocumentPeriodEndDate_01a0ed95-8911-7ece-9cd4-bc8d9989c2cb" xlink:type="arc" order="1"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a0ed95-8911-7c4a-bba9-874b4e752853" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityRegistrantName_01a0ed95-8911-7c4a-bba9-874b4e752853" xlink:type="arc" order="2"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a0ed95-8911-730c-ba36-712ac458c45e" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityCentralIndexKey_01a0ed95-8911-730c-ba36-712ac458c45e" xlink:type="arc" order="3"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a0ed95-8911-71fb-a4cf-fc28958fcd16" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityFileNumber_01a0ed95-8911-71fb-a4cf-fc28958fcd16" xlink:type="arc" order="4"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a0ed95-8911-7255-8079-bda7d136618a" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a0ed95-8911-7255-8079-bda7d136618a" xlink:type="arc" order="5"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a0ed95-8911-71e5-bf4d-0621e366601d" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityAddressAddressLine1_01a0ed95-8911-71e5-bf4d-0621e366601d" xlink:type="arc" order="6"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a0ed95-8911-7cf3-a950-b8bb2bb907bb" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityAddressCityOrTown_01a0ed95-8911-7cf3-a950-b8bb2bb907bb" xlink:type="arc" order="7"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a0ed95-8911-7241-b82b-1000aa1b8d59" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a0ed95-8911-7241-b82b-1000aa1b8d59" xlink:type="arc" order="8"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a0ed95-8911-72df-8bc3-b9e1dd4696f7" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityAddressStateOrProvince_01a0ed95-8911-72df-8bc3-b9e1dd4696f7" xlink:type="arc" order="9"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a0ed95-8911-7b25-aff1-b3071a1ccefe" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityAddressPostalZipCode_01a0ed95-8911-7b25-aff1-b3071a1ccefe" xlink:type="arc" order="10"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a0ed95-8911-7a1b-8b59-7768ab8aaab5" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_WrittenCommunications_01a0ed95-8911-7a1b-8b59-7768ab8aaab5" xlink:type="arc" order="11"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a0ed95-8911-7ee5-b7dc-718be83c9599" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_SolicitingMaterial_01a0ed95-8911-7ee5-b7dc-718be83c9599" xlink:type="arc" order="12"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a0ed95-8911-7a24-9784-f93e5554a6ce" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_PreCommencementTenderOffer_01a0ed95-8911-7a24-9784-f93e5554a6ce" xlink:type="arc" order="13"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a0ed95-8911-7e65-9350-3dd2460057ae" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a0ed95-8911-7e65-9350-3dd2460057ae" xlink:type="arc" order="14"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a0ed95-8911-7e7f-8a49-b035c3f6bceb" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_CityAreaCode_01a0ed95-8911-7e7f-8a49-b035c3f6bceb" xlink:type="arc" order="15"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a0ed95-8911-7727-befc-7c9e8eb6cd2f" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a0ed95-8911-7727-befc-7c9e8eb6cd2f" xlink:type="arc" order="16"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a0ed95-8911-7765-993f-6989c6a9c437" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_LocalPhoneNumber_01a0ed95-8911-7765-993f-6989c6a9c437" xlink:type="arc" order="17"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a0ed95-8911-7d3e-8f02-b11edf852963" 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_01a0ed95-8911-7701-84f3-225a1d6dfc78" xlink:to="loc_dei_AmendmentFlag_01a0ed95-8911-7d3e-8f02-b11edf852963" xlink:type="arc" order="18"/>
  </link:definitionLink>
</link:linkbase>
