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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:1ce2a839-77a0-444b-aba6-a36602bf24c4,g:72ca4500-bf83-481d-b85e-9447573d0a58-->
<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-20250508.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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_c502e1ee-91f7-4c31-94b5-e595b50188de" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_DocumentType_c502e1ee-91f7-4c31-94b5-e595b50188de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_dc6f5108-32ff-4962-a606-04dd20684d0a" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_DocumentPeriodEndDate_dc6f5108-32ff-4962-a606-04dd20684d0a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_b6def228-59b0-42aa-b693-41c0b145cb4d" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityRegistrantName_b6def228-59b0-42aa-b693-41c0b145cb4d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_c80eb8ca-056a-49ef-a58e-76bced5a3923" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityIncorporationStateCountryCode_c80eb8ca-056a-49ef-a58e-76bced5a3923" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_881980ee-431d-473e-9ae3-23634bc32f73" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityFileNumber_881980ee-431d-473e-9ae3-23634bc32f73" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_034d943d-77da-4116-9636-d7df621b5a23" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityTaxIdentificationNumber_034d943d-77da-4116-9636-d7df621b5a23" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_8af4de03-955b-4140-991c-fd5b8ec9eb62" 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_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityAddressAddressLine1_8af4de03-955b-4140-991c-fd5b8ec9eb62" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_517a55e2-8aff-487a-bc02-c7f75721b586" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityAddressCityOrTown_517a55e2-8aff-487a-bc02-c7f75721b586" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_3fb9cf6d-9db6-43b2-b554-7105c00236d0" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityAddressStateOrProvince_3fb9cf6d-9db6-43b2-b554-7105c00236d0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_208aa997-224c-49bf-ac89-8b8f143f6710" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityAddressPostalZipCode_208aa997-224c-49bf-ac89-8b8f143f6710" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_f750e78e-4232-4b24-bf01-d34611820104" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_CityAreaCode_f750e78e-4232-4b24-bf01-d34611820104" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_7dfd8f22-8eff-4cf3-8c0c-bd0383066811" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_LocalPhoneNumber_7dfd8f22-8eff-4cf3-8c0c-bd0383066811" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_827d7578-51bb-4d82-812a-ef6959a83b5d" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_WrittenCommunications_827d7578-51bb-4d82-812a-ef6959a83b5d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_ba1af899-df5d-4fb6-804a-f942c06a6584" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_SolicitingMaterial_ba1af899-df5d-4fb6-804a-f942c06a6584" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_50f8d08a-8392-4f25-b4f3-4d07b11608f7" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_PreCommencementTenderOffer_50f8d08a-8392-4f25-b4f3-4d07b11608f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_456b5d4f-c3b7-437a-9f4c-acaa9612a9d7" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_456b5d4f-c3b7-437a-9f4c-acaa9612a9d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_d79b6b23-6555-4a81-9353-44d2cdb12d6b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_Security12bTitle_d79b6b23-6555-4a81-9353-44d2cdb12d6b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_7ce06aa3-62d7-4597-8c27-9ee842446a63" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_TradingSymbol_7ce06aa3-62d7-4597-8c27-9ee842446a63" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_1f2d3082-515e-41c0-988d-6174d23e088b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_SecurityExchangeName_1f2d3082-515e-41c0-988d-6174d23e088b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_5942e0f2-54d0-4e6e-8c31-bf1e9cc6720b" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityEmergingGrowthCompany_5942e0f2-54d0-4e6e-8c31-bf1e9cc6720b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_8ad9c74e-0776-4333-a121-3e45cf68fb9a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_EntityCentralIndexKey_8ad9c74e-0776-4333-a121-3e45cf68fb9a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_d71c9f3b-8e92-437e-915c-1a790866a925" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_3f941946-3347-47b0-87c0-02b35e63ba7f" xlink:to="loc_dei_AmendmentFlag_d71c9f3b-8e92-437e-915c-1a790866a925" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
