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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e1787-5031-799c-bdb1-6b9e4b3f5a46,g:a700a919-5a79-4053-be63-f4e54626f93e-->
<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-20260723.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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e1787-5031-7be0-842e-4e6bebec2430" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityRegistrantName_019e1787-5031-7be0-842e-4e6bebec2430" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e1787-5031-7d38-bff9-f0e809da29da" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e1787-5031-7d38-bff9-f0e809da29da" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e1787-5031-7641-b0d2-c0e3fdd90365" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityFileNumber_019e1787-5031-7641-b0d2-c0e3fdd90365" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019e1787-5031-787e-915c-3aa72bffb2a8" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityTaxIdentificationNumber_019e1787-5031-787e-915c-3aa72bffb2a8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e1787-5031-7d79-8403-a8fd9ab3ae0a" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityAddressAddressLine1_019e1787-5031-7d79-8403-a8fd9ab3ae0a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019e1787-5031-7630-9b65-e91959c755ce" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityAddressStateOrProvince_019e1787-5031-7630-9b65-e91959c755ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e1787-5031-70bb-bbdd-532b30e40c00" 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_019e1787-5031-7fc2-8fb6-3fd814f2003a" xlink:to="loc_dei_EntityAddressCityOrTown_019e1787-5031-70bb-bbdd-532b30e40c00" 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-20260723.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_019e1787-5031-7006-bbeb-0a82ba24222a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_019e1787-5031-73fb-acfb-9302fea35a0c" 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_019e1787-5031-7006-bbeb-0a82ba24222a" xlink:to="loc_dei_DocumentInformationTable_019e1787-5031-73fb-acfb-9302fea35a0c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationDocumentAxis_019e1787-5031-703f-a942-0c826c542ac1" 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_019e1787-5031-73fb-acfb-9302fea35a0c" xlink:to="loc_dei_DocumentInformationDocumentAxis_019e1787-5031-703f-a942-0c826c542ac1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentDomain_019e1787-5031-7a63-8a1b-f4a0de52ea75" 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_019e1787-5031-703f-a942-0c826c542ac1" xlink:to="loc_dei_DocumentDomain_019e1787-5031-7a63-8a1b-f4a0de52ea75" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_019e1787-5031-778a-8a6e-22e6f47225ec" 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_019e1787-5031-73fb-acfb-9302fea35a0c" xlink:to="loc_dei_DocumentInformationLineItems_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e1787-5031-7dc1-b041-eb51bbff7db0" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_DocumentType_019e1787-5031-7dc1-b041-eb51bbff7db0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e1787-5031-772b-ac6f-baa8ae987b3c" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_DocumentPeriodEndDate_019e1787-5031-772b-ac6f-baa8ae987b3c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e1787-5031-70d3-a3ac-6111b867bd2d" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_Security12bTitle_019e1787-5031-70d3-a3ac-6111b867bd2d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e1787-5031-73af-ba15-97c40d5369f1" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_TradingSymbol_019e1787-5031-73af-ba15-97c40d5369f1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e1787-5031-7116-9580-c6c8f679cea7" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_SecurityExchangeName_019e1787-5031-7116-9580-c6c8f679cea7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e1787-5031-7880-ac4c-41661012f608" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e1787-5031-7880-ac4c-41661012f608" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e1787-5031-78b5-b2bd-62cfaead6e5f" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_WrittenCommunications_019e1787-5031-78b5-b2bd-62cfaead6e5f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e1787-5031-7bb6-95f1-19479910b139" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_SolicitingMaterial_019e1787-5031-7bb6-95f1-19479910b139" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e1787-5031-7c72-9684-1ed7476d8b1c" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_PreCommencementTenderOffer_019e1787-5031-7c72-9684-1ed7476d8b1c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e1787-5031-7feb-816a-d94f1a6ec2ed" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e1787-5031-7feb-816a-d94f1a6ec2ed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e1787-5031-7825-8977-2090bd78648e" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_CityAreaCode_019e1787-5031-7825-8977-2090bd78648e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e1787-5031-7e86-b68b-98c87af2c6d0" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_LocalPhoneNumber_019e1787-5031-7e86-b68b-98c87af2c6d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e1787-5031-7934-9e04-3c8d52330d55" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_EntityCentralIndexKey_019e1787-5031-7934-9e04-3c8d52330d55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e1787-5031-735b-8abd-dd8afdcb475b" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_AmendmentFlag_019e1787-5031-735b-8abd-dd8afdcb475b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e1787-5031-7aba-a5c2-7701f1f1e797" 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_019e1787-5031-778a-8a6e-22e6f47225ec" xlink:to="loc_dei_EntityAddressPostalZipCode_019e1787-5031-7aba-a5c2-7701f1f1e797" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
