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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:bbb0003a-ca26-46f2-bc54-65288e94ef2a,g:8e83cad5-651e-467a-85c0-276da94c5c85-->
<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.origin.bank/role/Cover" xlink:type="simple" xlink:href="obnk-20240331.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.origin.bank/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_c1f83b6a-a468-454e-b107-bcbaec3e4ce1" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_DocumentType_c1f83b6a-a468-454e-b107-bcbaec3e4ce1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentQuarterlyReport_2862891f-7534-4f50-981a-5e390ae95acc" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentQuarterlyReport"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_DocumentQuarterlyReport_2862891f-7534-4f50-981a-5e390ae95acc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_a6d69dd2-5681-4648-877c-5ccbf37b875a" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_DocumentPeriodEndDate_a6d69dd2-5681-4648-877c-5ccbf37b875a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentTransitionReport_764e4fcf-32aa-4891-ac17-b4d2c3eeb846" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentTransitionReport"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_DocumentTransitionReport_764e4fcf-32aa-4891-ac17-b4d2c3eeb846" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_4e0f5f26-c84f-46dd-a167-05a9f94ebd1d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityFileNumber_4e0f5f26-c84f-46dd-a167-05a9f94ebd1d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_51f1cb96-00b6-4ac7-a583-0702b46ff1ac" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityRegistrantName_51f1cb96-00b6-4ac7-a583-0702b46ff1ac" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_51a02175-a0a9-4ada-a99b-c0088628a6e0" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityIncorporationStateCountryCode_51a02175-a0a9-4ada-a99b-c0088628a6e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_96b9dbac-19f5-424a-9bbf-643dc7c0b922" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityTaxIdentificationNumber_96b9dbac-19f5-424a-9bbf-643dc7c0b922" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_af2bec8d-6201-4f2f-a586-fba860d282c5" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityAddressAddressLine1_af2bec8d-6201-4f2f-a586-fba860d282c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_c80e038d-4983-4648-bad3-bb99c51da642" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityAddressCityOrTown_c80e038d-4983-4648-bad3-bb99c51da642" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_14723753-8045-45ea-a38e-526d4cdcca0f" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityAddressStateOrProvince_14723753-8045-45ea-a38e-526d4cdcca0f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_bc6b43b9-6a9c-4f7c-bd4e-b5473012b746" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityAddressPostalZipCode_bc6b43b9-6a9c-4f7c-bd4e-b5473012b746" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_5e43ed05-0b20-413b-9aa9-2a45c8086c86" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_CityAreaCode_5e43ed05-0b20-413b-9aa9-2a45c8086c86" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_3f8e0510-20d5-4ca7-b91b-928103e46030" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_LocalPhoneNumber_3f8e0510-20d5-4ca7-b91b-928103e46030" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_17e9ec51-f4ea-4e8d-8f70-ac148bcc5c6d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_Security12bTitle_17e9ec51-f4ea-4e8d-8f70-ac148bcc5c6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_ea45d557-899c-4524-b06a-80f24029d113" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_TradingSymbol_ea45d557-899c-4524-b06a-80f24029d113" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_fb1dc47d-586d-4f94-8ade-5acf4d696e6a" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_SecurityExchangeName_fb1dc47d-586d-4f94-8ade-5acf4d696e6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCurrentReportingStatus_384d220e-7354-4e0a-9244-5e9344d2bef1" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCurrentReportingStatus"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityCurrentReportingStatus_384d220e-7354-4e0a-9244-5e9344d2bef1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInteractiveDataCurrent_65f24108-53fd-4eb9-b6fa-183b1f67160e" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityInteractiveDataCurrent"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityInteractiveDataCurrent_65f24108-53fd-4eb9-b6fa-183b1f67160e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFilerCategory_9a3bb396-9081-4e8f-b207-351260a16cab" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFilerCategory"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityFilerCategory_9a3bb396-9081-4e8f-b207-351260a16cab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitySmallBusiness_3048cba4-965c-4a1a-a0a1-0f6326c6046c" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntitySmallBusiness"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntitySmallBusiness_3048cba4-965c-4a1a-a0a1-0f6326c6046c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_0b19675b-43de-4445-8067-6113ffe7d294" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityEmergingGrowthCompany_0b19675b-43de-4445-8067-6113ffe7d294" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityShellCompany_0d28a88f-e894-44bf-a237-fab4a8665d45" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityShellCompany"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityShellCompany_0d28a88f-e894-44bf-a237-fab4a8665d45" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCommonStockSharesOutstanding_a9b0da4d-a251-4ab1-98e1-871075c014ef" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <link:presentationArc order="24" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityCommonStockSharesOutstanding_a9b0da4d-a251-4ab1-98e1-871075c014ef" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_72a0a8a6-b46d-478b-b9bd-13013eceff90" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="25" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_AmendmentFlag_72a0a8a6-b46d-478b-b9bd-13013eceff90" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate_4085e3a2-b3da-4c9a-9a36-9ca1da1c70d2" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:presentationArc order="26" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_CurrentFiscalYearEndDate_4085e3a2-b3da-4c9a-9a36-9ca1da1c70d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalYearFocus_9214dfe1-f316-49ea-a201-25286df02289" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentFiscalYearFocus"/>
    <link:presentationArc order="27" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_DocumentFiscalYearFocus_9214dfe1-f316-49ea-a201-25286df02289" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus_bbcebd4b-184c-4a91-814f-eecb5d42e9a7" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:presentationArc order="28" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_DocumentFiscalPeriodFocus_bbcebd4b-184c-4a91-814f-eecb5d42e9a7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_d7a14ff6-e122-43a4-871e-2f81031eb1ea" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="29" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_9decfac5-1b91-4d62-be14-6fa739e338d3" xlink:to="loc_dei_EntityCentralIndexKey_d7a14ff6-e122-43a4-871e-2f81031eb1ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
