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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:b3d84dd2-0dd6-46d7-bb58-7389caa80786,g:b8c6d30a-fe5a-4424-9457-68176619b1fb-->
<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.cartesiantherapeutics.com/role/CoverPageDocument" xlink:type="simple" xlink:href="rnac-20240326.xsd#CoverPageDocument"/>
  <link:presentationLink xlink:role="http://www.cartesiantherapeutics.com/role/CoverPageDocument" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_358b5016-6998-4269-8c00-107ab67190cd" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_DocumentType_358b5016-6998-4269-8c00-107ab67190cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_12b18edf-0213-4055-a51a-00a3637b8c31" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_DocumentPeriodEndDate_12b18edf-0213-4055-a51a-00a3637b8c31" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_133d8212-2cdc-4c7a-b63b-fed09fcdbba2" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityRegistrantName_133d8212-2cdc-4c7a-b63b-fed09fcdbba2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_8277c1eb-b33f-4094-b1a4-65e5da38c424" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityIncorporationStateCountryCode_8277c1eb-b33f-4094-b1a4-65e5da38c424" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_40411945-0963-406f-a222-44e0b101f33c" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityFileNumber_40411945-0963-406f-a222-44e0b101f33c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_ece52e53-c3e5-463a-bf4b-dc0002877714" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityTaxIdentificationNumber_ece52e53-c3e5-463a-bf4b-dc0002877714" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_60972794-7c5d-4d7e-8450-355c6840a91a" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityAddressAddressLine1_60972794-7c5d-4d7e-8450-355c6840a91a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_386423a4-71d9-4388-bf22-d72c482d3440" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityAddressCityOrTown_386423a4-71d9-4388-bf22-d72c482d3440" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_f4a992cd-5b8d-453b-8c76-e8a30c3a5d48" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityAddressStateOrProvince_f4a992cd-5b8d-453b-8c76-e8a30c3a5d48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_6c939989-e58d-4629-8617-9d3bdbc017a1" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityAddressPostalZipCode_6c939989-e58d-4629-8617-9d3bdbc017a1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_d7b33476-30c7-4b49-b8ed-b52f3a3ae7ba" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_CityAreaCode_d7b33476-30c7-4b49-b8ed-b52f3a3ae7ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_336ed909-2f74-45d9-a16a-4a167400a4d3" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_LocalPhoneNumber_336ed909-2f74-45d9-a16a-4a167400a4d3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_e7f71006-eee3-4285-be30-4617480ad528" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_WrittenCommunications_e7f71006-eee3-4285-be30-4617480ad528" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_86daba8f-268d-4c1a-b6dc-926d5927c973" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_SolicitingMaterial_86daba8f-268d-4c1a-b6dc-926d5927c973" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_a43ac644-02e1-4f85-8a34-f99bbade543c" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_PreCommencementTenderOffer_a43ac644-02e1-4f85-8a34-f99bbade543c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_4be4b9b3-00b2-4f30-aef0-c706e6ac7ea7" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_4be4b9b3-00b2-4f30-aef0-c706e6ac7ea7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_de67302a-3b4a-40a9-8c18-bf003daa57a2" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_Security12bTitle_de67302a-3b4a-40a9-8c18-bf003daa57a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_76e8fb61-9524-45ea-88dc-aefcfcf51953" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_TradingSymbol_76e8fb61-9524-45ea-88dc-aefcfcf51953" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_1fdf2086-6d74-43c8-9d9b-6fb9a703a6e9" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_SecurityExchangeName_1fdf2086-6d74-43c8-9d9b-6fb9a703a6e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_b4ba81db-24e2-436c-8ca0-0282308e57c9" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityEmergingGrowthCompany_b4ba81db-24e2-436c-8ca0-0282308e57c9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_737be4f5-8f36-4f14-a60e-a28f54b850ab" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_EntityCentralIndexKey_737be4f5-8f36-4f14-a60e-a28f54b850ab" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_c8947e44-2a19-4b6d-b464-d75853969af3" xlink:href="https://xbrl.sec.gov/dei/2022/dei-2022.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_77bc1214-aecf-45ea-a0db-da5702755399" xlink:to="loc_dei_AmendmentFlag_c8947e44-2a19-4b6d-b464-d75853969af3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
