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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019ecbc6-b259-785a-918c-a94822bf5ea7,g:e1cb4bc5-3ee0-46d6-8296-a916c7e18554-->
<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.armourreit.com/role/CoverDocument" xlink:type="simple" xlink:href="arr-20260722.xsd#CoverDocument"/>
  <link:presentationLink xlink:role="http://www.armourreit.com/role/CoverDocument" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_arr_CoverPage.Abstract_019ecbc6-b259-758e-9f99-f3c45b2d38bf" xlink:href="arr-20260722.xsd#arr_CoverPage.Abstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_019ecbc6-b259-7ef1-b7df-8d97c339097c" 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_arr_CoverPage.Abstract_019ecbc6-b259-758e-9f99-f3c45b2d38bf" xlink:to="loc_dei_DocumentInformationTable_019ecbc6-b259-7ef1-b7df-8d97c339097c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_019ecbc6-b259-79e0-ac5a-7209604988c5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_019ecbc6-b259-7ef1-b7df-8d97c339097c" xlink:to="loc_us-gaap_StatementClassOfStockAxis_019ecbc6-b259-79e0-ac5a-7209604988c5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_019ecbc6-b259-7007-8ba4-8fb0d051a9fb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_019ecbc6-b259-79e0-ac5a-7209604988c5" xlink:to="loc_us-gaap_ClassOfStockDomain_019ecbc6-b259-7007-8ba4-8fb0d051a9fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeriesCPreferredStockMember_019ecbc6-b259-7ebf-b217-49291e7a70b1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SeriesCPreferredStockMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_019ecbc6-b259-7007-8ba4-8fb0d051a9fb" xlink:to="loc_us-gaap_SeriesCPreferredStockMember_019ecbc6-b259-7ebf-b217-49291e7a70b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_019ecbc6-b259-7056-bd46-c411dc80357a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_019ecbc6-b259-7007-8ba4-8fb0d051a9fb" xlink:to="loc_us-gaap_CommonStockMember_019ecbc6-b259-7056-bd46-c411dc80357a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" 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_019ecbc6-b259-7ef1-b7df-8d97c339097c" xlink:to="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019ecbc6-b259-79f9-8bd9-b0de96e32564" 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_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_DocumentType_019ecbc6-b259-79f9-8bd9-b0de96e32564" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019ecbc6-b259-7d73-bb86-851df80b178d" 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_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_DocumentPeriodEndDate_019ecbc6-b259-7d73-bb86-851df80b178d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019ecbc6-b259-7085-977b-a6643c5a35d9" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityRegistrantName_019ecbc6-b259-7085-977b-a6643c5a35d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019ecbc6-b259-75af-b9a6-49acf78a5470" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019ecbc6-b259-75af-b9a6-49acf78a5470" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019ecbc6-b259-7ba3-934b-3214e9229c11" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityFileNumber_019ecbc6-b259-7ba3-934b-3214e9229c11" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019ecbc6-b259-70d5-adaa-14c11c97b973" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityTaxIdentificationNumber_019ecbc6-b259-70d5-adaa-14c11c97b973" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019ecbc6-b259-7e57-ab1a-1b71744f99d0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityAddressAddressLine1_019ecbc6-b259-7e57-ab1a-1b71744f99d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019ecbc6-b259-761a-8037-71dcc206e501" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityAddressCityOrTown_019ecbc6-b259-761a-8037-71dcc206e501" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019ecbc6-b259-73fe-b8b5-c08ec65a941c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityAddressStateOrProvince_019ecbc6-b259-73fe-b8b5-c08ec65a941c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019ecbc6-b259-750f-939b-d22bb7c2c7b6" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityAddressPostalZipCode_019ecbc6-b259-750f-939b-d22bb7c2c7b6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019ecbc6-b259-7ba2-917f-1665f3d02971" 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_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_CityAreaCode_019ecbc6-b259-7ba2-917f-1665f3d02971" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019ecbc6-b259-7117-9a84-e0aadfbf2559" 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_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_LocalPhoneNumber_019ecbc6-b259-7117-9a84-e0aadfbf2559" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019ecbc6-b259-762c-b31d-5ba94c1795ab" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_WrittenCommunications_019ecbc6-b259-762c-b31d-5ba94c1795ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019ecbc6-b259-7570-8eed-bc044effb89c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_SolicitingMaterial_019ecbc6-b259-7570-8eed-bc044effb89c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019ecbc6-b259-73f1-8d18-adf2c9a0e7ad" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_PreCommencementTenderOffer_019ecbc6-b259-73f1-8d18-adf2c9a0e7ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019ecbc6-b259-7ea4-a384-5ca9101f0340" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019ecbc6-b259-7ea4-a384-5ca9101f0340" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019ecbc6-b259-75e2-9166-0a238628329a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_Security12bTitle_019ecbc6-b259-75e2-9166-0a238628329a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019ecbc6-b259-754b-a018-7cda1e463cd6" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_TradingSymbol_019ecbc6-b259-754b-a018-7cda1e463cd6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019ecbc6-b259-7b47-918e-0eac8553b6b9" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_SecurityExchangeName_019ecbc6-b259-7b47-918e-0eac8553b6b9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019ecbc6-b259-75ce-b88b-bb07f2c3ccea" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityEmergingGrowthCompany_019ecbc6-b259-75ce-b88b-bb07f2c3ccea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019ecbc6-b259-7b2d-a270-d03697947745" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_EntityCentralIndexKey_019ecbc6-b259-7b2d-a270-d03697947745" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019ecbc6-b259-7661-97d3-e42533248c80" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_019ecbc6-b259-7bef-8dc1-23293378212b" xlink:to="loc_dei_AmendmentFlag_019ecbc6-b259-7661-97d3-e42533248c80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
