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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2022 Workiva-->
<!--r:68dab5b6-b36a-44cd-84d9-389375e09ee6,g:108d4413-4b2b-4e49-9600-f1406fa4cbfa-->
<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-20220103.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_3ec6b4fc-dcc2-45f0-913d-d83de9e06321" xlink:href="arr-20220103.xsd#arr_CoverPage.Abstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable_233c6ced-6c31-40d3-a529-3805f14c6024" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentInformationTable"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_arr_CoverPage.Abstract_3ec6b4fc-dcc2-45f0-913d-d83de9e06321" xlink:to="loc_dei_DocumentInformationTable_233c6ced-6c31-40d3-a529-3805f14c6024" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis_a9e40017-9ab0-4538-bb49-4e8dd9342b8d" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_233c6ced-6c31-40d3-a529-3805f14c6024" xlink:to="loc_us-gaap_StatementClassOfStockAxis_a9e40017-9ab0-4538-bb49-4e8dd9342b8d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain_463a8714-b733-455a-bc21-40931b09c68b" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_ClassOfStockDomain"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_StatementClassOfStockAxis_a9e40017-9ab0-4538-bb49-4e8dd9342b8d" xlink:to="loc_us-gaap_ClassOfStockDomain_463a8714-b733-455a-bc21-40931b09c68b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_PreferredClassCMember_d49675a2-e3ed-411a-b5f4-631329586f8d" xlink:href="arr-20220103.xsd#arr_PreferredClassCMember"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_463a8714-b733-455a-bc21-40931b09c68b" xlink:to="loc_arr_PreferredClassCMember_d49675a2-e3ed-411a-b5f4-631329586f8d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember_ebcb7072-217e-4fa8-825d-934577b5dcb8" xlink:href="https://xbrl.fasb.org/us-gaap/2021/elts/us-gaap-2021-01-31.xsd#us-gaap_CommonStockMember"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_us-gaap_ClassOfStockDomain_463a8714-b733-455a-bc21-40931b09c68b" xlink:to="loc_us-gaap_CommonStockMember_ebcb7072-217e-4fa8-825d-934577b5dcb8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentInformationLineItems"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationTable_233c6ced-6c31-40d3-a529-3805f14c6024" xlink:to="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_1f47df5a-fead-4201-a144-fb6e9da65570" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_DocumentType_1f47df5a-fead-4201-a144-fb6e9da65570" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_f6c97059-d1ae-4eb0-b994-2228f7dd827f" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_DocumentPeriodEndDate_f6c97059-d1ae-4eb0-b994-2228f7dd827f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_44bb10e0-8cba-4c9d-93aa-2844f0b44e16" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityRegistrantName_44bb10e0-8cba-4c9d-93aa-2844f0b44e16" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_743d0db3-f47d-49dc-b833-09a3d3f3af49" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityIncorporationStateCountryCode_743d0db3-f47d-49dc-b833-09a3d3f3af49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_a13066f3-76c1-4ca8-b2a1-ebf6a1823c17" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityFileNumber_a13066f3-76c1-4ca8-b2a1-ebf6a1823c17" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_aa8f7c04-b848-4877-8929-5625d5b6e65a" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityTaxIdentificationNumber_aa8f7c04-b848-4877-8929-5625d5b6e65a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_0d54e8e1-0450-4df0-9f1f-2d92bd500ed8" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityAddressAddressLine1_0d54e8e1-0450-4df0-9f1f-2d92bd500ed8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_7cc7829d-d4f8-475b-8354-1d1f78291d74" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityAddressCityOrTown_7cc7829d-d4f8-475b-8354-1d1f78291d74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_9bb4e0cd-ebc4-46e3-98f0-0f7ff29f0103" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityAddressStateOrProvince_9bb4e0cd-ebc4-46e3-98f0-0f7ff29f0103" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_7eb7ce27-3bf3-4d7b-9e95-64be3c43abf1" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityAddressPostalZipCode_7eb7ce27-3bf3-4d7b-9e95-64be3c43abf1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_9c1b0ff4-55f5-4be7-992a-04d71a39a54d" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_CityAreaCode_9c1b0ff4-55f5-4be7-992a-04d71a39a54d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_f4e07133-7c77-4afd-b2d6-ea37c7bde398" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_LocalPhoneNumber_f4e07133-7c77-4afd-b2d6-ea37c7bde398" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_21224e77-c7c9-4d99-9933-a25b4e1e71db" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_WrittenCommunications_21224e77-c7c9-4d99-9933-a25b4e1e71db" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_7b63ed3e-8ce0-490f-a149-07e8fafce382" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_SolicitingMaterial_7b63ed3e-8ce0-490f-a149-07e8fafce382" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_ac9cbd57-2866-4128-9dc9-336ddbbce885" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_PreCommencementTenderOffer_ac9cbd57-2866-4128-9dc9-336ddbbce885" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_45513af6-a057-488a-91f4-71e26e2960f8" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_45513af6-a057-488a-91f4-71e26e2960f8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_1d483403-e5a8-45ac-bdc3-19bb39d8c2f7" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_Security12bTitle_1d483403-e5a8-45ac-bdc3-19bb39d8c2f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_58437032-c83e-4ca8-a255-33e071582b90" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_TradingSymbol_58437032-c83e-4ca8-a255-33e071582b90" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_dbf5fb9b-31b6-48f5-8c4a-97632fd33c84" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_SecurityExchangeName_dbf5fb9b-31b6-48f5-8c4a-97632fd33c84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_4bdcd964-7169-4548-b6d8-c66765793281" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityEmergingGrowthCompany_4bdcd964-7169-4548-b6d8-c66765793281" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_e18b93c4-a6d5-456e-8886-2658773df508" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_EntityCentralIndexKey_e18b93c4-a6d5-456e-8886-2658773df508" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_0796f414-e9c0-4583-bed9-57d8ad6cbaf5" xlink:href="https://xbrl.sec.gov/dei/2021/dei-2021.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_DocumentInformationLineItems_818900ca-d877-4983-8cff-9734b728412f" xlink:to="loc_dei_AmendmentFlag_0796f414-e9c0-4583-bed9-57d8ad6cbaf5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/StatementofFinancialPosition" xlink:type="simple" xlink:href="arr-20220103.xsd#StatementofFinancialPosition"/>
  <link:presentationLink xlink:role="http://www.armourreit.com/role/StatementofFinancialPosition" xlink:type="extended"/>
  <link:roleRef roleURI="http://www.armourreit.com/role/StatementofIncome" xlink:type="simple" xlink:href="arr-20220103.xsd#StatementofIncome"/>
  <link:presentationLink xlink:role="http://www.armourreit.com/role/StatementofIncome" xlink:type="extended"/>
  <link:roleRef roleURI="http://www.armourreit.com/role/StatementofCashFlows" xlink:type="simple" xlink:href="arr-20220103.xsd#StatementofCashFlows"/>
  <link:presentationLink xlink:role="http://www.armourreit.com/role/StatementofCashFlows" xlink:type="extended"/>
</link:linkbase>
