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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a17e3d-6a55-78cf-9df1-40bd159c82a9,g:58b96617-166d-496d-ae19-5d5fc5da1a5b-->
<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://prospectstreet.com/role/Cover" xlink:type="simple" xlink:href="psec-20261027.xsd#Cover"/>
  <link:presentationLink xlink:role="http://prospectstreet.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a17e3d-6a55-7f32-becb-ed543b012a89" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_01a17e3d-6a55-724f-aba5-cfc08a7919d4" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentInformationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a17e3d-6a55-7f32-becb-ed543b012a89" xlink:to="loc_dei_DocumentInformationTable_01a17e3d-6a55-724f-aba5-cfc08a7919d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_01a17e3d-6a55-74b1-a3e7-b2e7a3ea9804" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_01a17e3d-6a55-724f-aba5-cfc08a7919d4" xlink:to="loc_us-gaap_StatementClassOfStockAxis_01a17e3d-6a55-74b1-a3e7-b2e7a3ea9804" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_01a17e3d-6a55-7f08-80fb-1fd1f3163a1c" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_01a17e3d-6a55-74b1-a3e7-b2e7a3ea9804" xlink:to="loc_us-gaap_ClassOfStockDomain_01a17e3d-6a55-7f08-80fb-1fd1f3163a1c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_01a17e3d-6a55-7de8-8411-133f02040516" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_01a17e3d-6a55-7f08-80fb-1fd1f3163a1c" xlink:to="loc_us-gaap_CommonStockMember_01a17e3d-6a55-7de8-8411-133f02040516" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_psec_A535SeriesAFixedRateCumulativePerpetualPreferredStockMember_01a17e3d-6a55-7404-89d5-f87907ca3b76" xlink:href="psec-20261027.xsd#psec_A535SeriesAFixedRateCumulativePerpetualPreferredStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_01a17e3d-6a55-7f08-80fb-1fd1f3163a1c" xlink:to="loc_psec_A535SeriesAFixedRateCumulativePerpetualPreferredStockMember_01a17e3d-6a55-7404-89d5-f87907ca3b76" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_01a17e3d-6a55-724f-aba5-cfc08a7919d4" xlink:to="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a17e3d-6a55-738c-b26b-59b44a51acf0" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_DocumentType_01a17e3d-6a55-738c-b26b-59b44a51acf0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a17e3d-6a55-7bc5-a957-d2adadcd3d67" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_DocumentPeriodEndDate_01a17e3d-6a55-7bc5-a957-d2adadcd3d67" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a17e3d-6a55-7c3c-9f81-a430b7ed69f6" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityRegistrantName_01a17e3d-6a55-7c3c-9f81-a430b7ed69f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a17e3d-6a55-7193-8a97-4e532fe2044d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityFileNumber_01a17e3d-6a55-7193-8a97-4e532fe2044d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a17e3d-6a55-7bae-ba28-93a425978abf" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityAddressAddressLine1_01a17e3d-6a55-7bae-ba28-93a425978abf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a17e3d-6a55-7db0-9480-c0b87d355508" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a17e3d-6a55-7db0-9480-c0b87d355508" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_01a17e3d-6a55-7416-ac15-935615dc0c89" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityAddressAddressLine2_01a17e3d-6a55-7416-ac15-935615dc0c89" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a17e3d-6a55-764e-9dad-ce5b8fe10f16" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityAddressCityOrTown_01a17e3d-6a55-764e-9dad-ce5b8fe10f16" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a17e3d-6a55-7a16-9dff-976c463f2c74" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityAddressStateOrProvince_01a17e3d-6a55-7a16-9dff-976c463f2c74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a17e3d-6a55-7d85-8f09-69beceb6019d" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityAddressPostalZipCode_01a17e3d-6a55-7d85-8f09-69beceb6019d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a17e3d-6a55-7f5c-a6a5-77857533515d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_LocalPhoneNumber_01a17e3d-6a55-7f5c-a6a5-77857533515d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a17e3d-6a55-7ea0-bffc-4793d0a9817b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_CityAreaCode_01a17e3d-6a55-7ea0-bffc-4793d0a9817b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a17e3d-6a55-74d0-8db1-743bbccfd8f7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a17e3d-6a55-74d0-8db1-743bbccfd8f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a17e3d-6a55-7562-8e43-a6bb6c7acf64" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_PreCommencementTenderOffer_01a17e3d-6a55-7562-8e43-a6bb6c7acf64" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a17e3d-6a55-7276-9619-82af8b069201" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_SolicitingMaterial_01a17e3d-6a55-7276-9619-82af8b069201" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a17e3d-6a55-7759-90d4-e7f38af28dfd" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_WrittenCommunications_01a17e3d-6a55-7759-90d4-e7f38af28dfd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a17e3d-6a55-7202-9c70-c9a337ff0c96" 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_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a17e3d-6a55-7202-9c70-c9a337ff0c96" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_01a17e3d-6a55-74c4-ad1d-1fb57bcfc5f7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_SecurityExchangeName_01a17e3d-6a55-74c4-ad1d-1fb57bcfc5f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_01a17e3d-6a55-76d9-a989-a8f5e3b22d2b" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_TradingSymbol_01a17e3d-6a55-76d9-a989-a8f5e3b22d2b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_01a17e3d-6a55-7859-9fe2-ac97fc9e9f01" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_Security12bTitle_01a17e3d-6a55-7859-9fe2-ac97fc9e9f01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a17e3d-6a55-7885-9830-f7a29ddea3ee" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a17e3d-6a55-7885-9830-f7a29ddea3ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a17e3d-6a55-7c02-ab47-31df306f7eae" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_EntityCentralIndexKey_01a17e3d-6a55-7c02-ab47-31df306f7eae" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a17e3d-6a55-7e8e-aab4-f469edaabd55" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_01a17e3d-6a55-74eb-9524-3cae781b43af" xlink:to="loc_dei_AmendmentFlag_01a17e3d-6a55-7e8e-aab4-f469edaabd55" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
