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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e420c-6a32-7586-b9f0-f03dc7099bee,g:7eee34f3-1e25-47b6-85b3-2798d3919791-->
<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.blueowl.com/role/Cover" xlink:type="simple" xlink:href="obdc-20260518.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.blueowl.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e420c-6a32-799e-a606-373c2f717b7b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_DocumentType_019e420c-6a32-799e-a606-373c2f717b7b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e420c-6a32-76f4-8781-f3492a0678d3" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_DocumentPeriodEndDate_019e420c-6a32-76f4-8781-f3492a0678d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e420c-6a32-7a4d-8bb4-4fd2f7bed477" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityRegistrantName_019e420c-6a32-7a4d-8bb4-4fd2f7bed477" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e420c-6a32-72b2-a5e9-e291e803d1f7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e420c-6a32-72b2-a5e9-e291e803d1f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e420c-6a32-7307-afaf-3f413574aa1b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityFileNumber_019e420c-6a32-7307-afaf-3f413574aa1b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019e420c-6a32-73d2-a059-9296e30e7496" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityTaxIdentificationNumber_019e420c-6a32-73d2-a059-9296e30e7496" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e420c-6a32-790e-84e6-9d14d080f58d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityAddressAddressLine1_019e420c-6a32-790e-84e6-9d14d080f58d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e420c-6a32-78c7-bbd1-06dd0b4f8837" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityAddressCityOrTown_019e420c-6a32-78c7-bbd1-06dd0b4f8837" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019e420c-6a32-7450-8575-8867a3d1f6a9" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityAddressStateOrProvince_019e420c-6a32-7450-8575-8867a3d1f6a9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e420c-6a32-7451-8d43-9a00e8a6c88a" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityAddressPostalZipCode_019e420c-6a32-7451-8d43-9a00e8a6c88a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e420c-6a32-774d-a35d-e8d67db686f2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_CityAreaCode_019e420c-6a32-774d-a35d-e8d67db686f2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e420c-6a32-7a43-9e45-ee8661961aba" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_LocalPhoneNumber_019e420c-6a32-7a43-9e45-ee8661961aba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e420c-6a32-7688-b525-6e73e0392392" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_WrittenCommunications_019e420c-6a32-7688-b525-6e73e0392392" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e420c-6a32-752f-918c-534b8835da33" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_SolicitingMaterial_019e420c-6a32-752f-918c-534b8835da33" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e420c-6a32-780d-ba7f-a140fa03e901" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_PreCommencementTenderOffer_019e420c-6a32-780d-ba7f-a140fa03e901" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e420c-6a32-79d4-befe-e1225704e22f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e420c-6a32-79d4-befe-e1225704e22f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e420c-6a32-7838-bc95-6676c366f04b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e420c-6a32-7838-bc95-6676c366f04b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e420c-6a32-7dec-9797-3fa7e720a45f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_EntityCentralIndexKey_019e420c-6a32-7dec-9797-3fa7e720a45f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e420c-6a32-7f31-96f0-f0cc48583a35" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_AmendmentFlag_019e420c-6a32-7f31-96f0-f0cc48583a35" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e420c-6a32-7ae3-bf6b-ee4608a60aab" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e420c-6a32-7457-9b8c-f1044f97dde0" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_TradingSymbol_019e420c-6a32-7457-9b8c-f1044f97dde0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e420c-6a32-7dec-b28b-480ead0d948f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_SecurityExchangeName_019e420c-6a32-7dec-b28b-480ead0d948f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e420c-6a32-7a92-a3cc-9bbf7f10d89c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e420c-6a32-7427-a9c1-485055a77be2" xlink:to="loc_dei_Security12bTitle_019e420c-6a32-7a92-a3cc-9bbf7f10d89c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
