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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:36d3fc9c-afb3-4a3e-a79f-92ad0245c8f2,g:94bc160d-ed30-449e-a42b-fe935c1fec93-->
<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.centerspacehomes.com/role/Cover" xlink:type="simple" xlink:href="csr-20241115.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.centerspacehomes.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_7ac61b62-769c-4b2f-8a67-9fc9aaf0a93a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_DocumentType_7ac61b62-769c-4b2f-8a67-9fc9aaf0a93a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_19c574f3-6d2b-42aa-8025-1cd4bb98ffc2" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_DocumentPeriodEndDate_19c574f3-6d2b-42aa-8025-1cd4bb98ffc2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_e3f7c008-c371-4630-983d-8d5ff4fb2d7c" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityRegistrantName_e3f7c008-c371-4630-983d-8d5ff4fb2d7c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_5521ce60-c43f-436b-b07c-e9092448eed4" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityIncorporationStateCountryCode_5521ce60-c43f-436b-b07c-e9092448eed4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_56ae7b6d-41e8-46f0-904c-cd39536421fa" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityFileNumber_56ae7b6d-41e8-46f0-904c-cd39536421fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_ac1cdfde-4f93-452b-8a32-c9e4a01212d5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityTaxIdentificationNumber_ac1cdfde-4f93-452b-8a32-c9e4a01212d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_8dd600d9-2c05-4447-9e19-43bb353e9091" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityAddressAddressLine1_8dd600d9-2c05-4447-9e19-43bb353e9091" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_276ef866-4b14-4917-8ae5-9710b20a2d95" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityAddressAddressLine2_276ef866-4b14-4917-8ae5-9710b20a2d95" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_b40531e6-c546-47f1-a800-d288e3911d97" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityAddressCityOrTown_b40531e6-c546-47f1-a800-d288e3911d97" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_277177d4-2d37-4c8e-b9ad-237c21960625" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityAddressStateOrProvince_277177d4-2d37-4c8e-b9ad-237c21960625" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_3458da3b-e048-444a-8983-0ddf5c3f88e0" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityAddressPostalZipCode_3458da3b-e048-444a-8983-0ddf5c3f88e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_4cf328ac-bc18-4e5a-99ea-c128db125ae5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_CityAreaCode_4cf328ac-bc18-4e5a-99ea-c128db125ae5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_48903d79-bac2-4366-adec-27cc337badd4" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_LocalPhoneNumber_48903d79-bac2-4366-adec-27cc337badd4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_0f39c195-1af9-4b6f-8ca0-b2e728b34c2f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_WrittenCommunications_0f39c195-1af9-4b6f-8ca0-b2e728b34c2f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_8a2e14bc-adbd-4b85-8717-e2f8f415b9e5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_SolicitingMaterial_8a2e14bc-adbd-4b85-8717-e2f8f415b9e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_9fc89a04-203a-487d-a510-2b6eadbc59ec" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_PreCommencementTenderOffer_9fc89a04-203a-487d-a510-2b6eadbc59ec" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_9f832f15-3982-47eb-b64f-9d6f3fa42e61" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_9f832f15-3982-47eb-b64f-9d6f3fa42e61" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_e3a815af-bd19-4241-8184-08d41d85d165" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_Security12bTitle_e3a815af-bd19-4241-8184-08d41d85d165" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_ebd2a49e-105b-417e-b961-56ec454a7606" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_TradingSymbol_ebd2a49e-105b-417e-b961-56ec454a7606" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_02ee321f-cec4-49d7-b037-f773057d29d3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_SecurityExchangeName_02ee321f-cec4-49d7-b037-f773057d29d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_25b511e9-6f9c-4b1e-9c85-a99f248d28dc" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityEmergingGrowthCompany_25b511e9-6f9c-4b1e-9c85-a99f248d28dc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_3321f26f-ad99-4062-a120-6b17c6c9164f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_EntityCentralIndexKey_3321f26f-ad99-4062-a120-6b17c6c9164f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_d0c5a375-c00c-4f9d-9e49-837ef59d67c2" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_8c521d95-c7c4-47ef-be3d-f95bf652c0cb" xlink:to="loc_dei_AmendmentFlag_d0c5a375-c00c-4f9d-9e49-837ef59d67c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
