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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019ff168-a74f-7428-942e-8b55645b1db1,g:d408f4c9-474a-4406-8c32-7b6988eb7f8c-->
<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://www.fibk.com/role/Cover" xlink:type="simple" xlink:href="fibk-20261022.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.fibk.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019ff168-a74f-7f7e-ae41-b93bf96efbd0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityRegistrantName_019ff168-a74f-7f7e-ae41-b93bf96efbd0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019ff168-a74f-7024-baf1-669b68cf6049" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019ff168-a74f-7024-baf1-669b68cf6049" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019ff168-a74f-7b8b-a875-f627c45d4baf" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityFileNumber_019ff168-a74f-7b8b-a875-f627c45d4baf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019ff168-a74f-73a0-ad60-516858e8c58c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityTaxIdentificationNumber_019ff168-a74f-73a0-ad60-516858e8c58c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019ff168-a74f-7b14-885e-9f8476a56cab" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityAddressAddressLine1_019ff168-a74f-7b14-885e-9f8476a56cab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019ff168-a74f-779d-b5f1-0b11b86e1d7f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityAddressStateOrProvince_019ff168-a74f-779d-b5f1-0b11b86e1d7f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019ff168-a74f-7432-a892-ebd26ffe3d88" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-7098-a8a7-61e5b05cc616" xlink:to="loc_dei_EntityAddressCityOrTown_019ff168-a74f-7432-a892-ebd26ffe3d88" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.fibk.com/role/Cover_1" xlink:type="simple" xlink:href="fibk-20261022.xsd#Cover_1"/>
  <link:presentationLink xlink:role="http://www.fibk.com/role/Cover_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019ff168-a74f-75e5-8fa8-0818eaecd1fd" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_019ff168-a74f-78db-a32d-c0bb723ff38c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ff168-a74f-75e5-8fa8-0818eaecd1fd" xlink:to="loc_dei_DocumentInformationTable_019ff168-a74f-78db-a32d-c0bb723ff38c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationDocumentAxis_019ff168-a74f-7056-8580-74bd660545f4" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationDocumentAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_019ff168-a74f-78db-a32d-c0bb723ff38c" xlink:to="loc_dei_DocumentInformationDocumentAxis_019ff168-a74f-7056-8580-74bd660545f4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentDomain_019ff168-a74f-7837-a8da-1546c14cdbc0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationDocumentAxis_019ff168-a74f-7056-8580-74bd660545f4" xlink:to="loc_dei_DocumentDomain_019ff168-a74f-7837-a8da-1546c14cdbc0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_019ff168-a74f-78db-a32d-c0bb723ff38c" xlink:to="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019ff168-a74f-7863-a651-f617a4f10d57" 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_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_DocumentType_019ff168-a74f-7863-a651-f617a4f10d57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019ff168-a74f-7fa7-bbac-b91734f5f1e5" 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_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_DocumentPeriodEndDate_019ff168-a74f-7fa7-bbac-b91734f5f1e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019ff168-a74f-7069-8ec1-9c200249b3ee" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_Security12bTitle_019ff168-a74f-7069-8ec1-9c200249b3ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019ff168-a74f-7a29-ae9d-47b26f03560c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_TradingSymbol_019ff168-a74f-7a29-ae9d-47b26f03560c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019ff168-a74f-7c1e-9aa9-7b6b37952d28" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_SecurityExchangeName_019ff168-a74f-7c1e-9aa9-7b6b37952d28" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019ff168-a74f-7c2e-82f7-0962eced3756" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_EntityEmergingGrowthCompany_019ff168-a74f-7c2e-82f7-0962eced3756" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019ff168-a74f-7625-acb3-5940a18c97f0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_WrittenCommunications_019ff168-a74f-7625-acb3-5940a18c97f0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019ff168-a74f-748b-8171-116ee7778742" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_SolicitingMaterial_019ff168-a74f-748b-8171-116ee7778742" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019ff168-a74f-7008-8c56-4487dd4de009" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_PreCommencementTenderOffer_019ff168-a74f-7008-8c56-4487dd4de009" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019ff168-a74f-7567-9e72-029e39f128f9" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019ff168-a74f-7567-9e72-029e39f128f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019ff168-a74f-796d-8f0e-f380f385213b" 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_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_CityAreaCode_019ff168-a74f-796d-8f0e-f380f385213b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019ff168-a74f-751a-a404-78b2c4789739" 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_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_LocalPhoneNumber_019ff168-a74f-751a-a404-78b2c4789739" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019ff168-a74f-721a-83bf-fe308bfd8abd" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_EntityCentralIndexKey_019ff168-a74f-721a-83bf-fe308bfd8abd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019ff168-a74f-72b9-bace-80cb2f5acfa4" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_AmendmentFlag_019ff168-a74f-72b9-bace-80cb2f5acfa4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019ff168-a74f-7117-b7ae-3d793d543d71" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ff168-a74f-7ea9-8e0a-0eefecbe6e06" xlink:to="loc_dei_EntityAddressPostalZipCode_019ff168-a74f-7117-b7ae-3d793d543d71" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
