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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:56f9c416-0e19-47f5-b945-4b62d1305c30,g:967d3fce-f763-4bf4-ae13-1e42264961eb-->
<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-20241107.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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_eda781c3-1004-4dbd-98ff-7652a6ab735b" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_DocumentType_eda781c3-1004-4dbd-98ff-7652a6ab735b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_ad12da36-7899-409a-bac0-9406f302bfc4" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_DocumentPeriodEndDate_ad12da36-7899-409a-bac0-9406f302bfc4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_ebd5b231-c7ac-45ac-9315-4bdc9e8cdbbb" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityRegistrantName_ebd5b231-c7ac-45ac-9315-4bdc9e8cdbbb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_4b34568a-0e1a-4651-8e37-e35f3e3d7344" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityIncorporationStateCountryCode_4b34568a-0e1a-4651-8e37-e35f3e3d7344" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_7ed1c477-1f33-4375-be2d-b74a6a48c944" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityFileNumber_7ed1c477-1f33-4375-be2d-b74a6a48c944" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_0fada037-a3f2-4125-8794-e9743ed79e8d" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityTaxIdentificationNumber_0fada037-a3f2-4125-8794-e9743ed79e8d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_247ba46e-5e31-4dcc-b926-cddd7805dbd4" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityAddressAddressLine1_247ba46e-5e31-4dcc-b926-cddd7805dbd4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_fb0cb8f0-d793-4eec-b420-7d9b153dab02" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityAddressCityOrTown_fb0cb8f0-d793-4eec-b420-7d9b153dab02" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_84bb0da3-2846-41bb-a5ad-6377a24990c3" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityAddressStateOrProvince_84bb0da3-2846-41bb-a5ad-6377a24990c3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_9c1afbcd-b000-49a5-8100-59f4d233bd58" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityAddressPostalZipCode_9c1afbcd-b000-49a5-8100-59f4d233bd58" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_2e64950d-b122-4eb7-9ec5-b03970f73fd3" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_CityAreaCode_2e64950d-b122-4eb7-9ec5-b03970f73fd3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_0a52e6dc-7332-4323-ab95-a886ae9fe7b8" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_LocalPhoneNumber_0a52e6dc-7332-4323-ab95-a886ae9fe7b8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_8cf00676-4514-431a-8f42-2d004320509a" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_WrittenCommunications_8cf00676-4514-431a-8f42-2d004320509a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_5e1dc7e8-c5da-487b-ab29-25310b1fb1ce" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_SolicitingMaterial_5e1dc7e8-c5da-487b-ab29-25310b1fb1ce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_c6acf910-5794-4ecc-b18a-dd2b719acd1e" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_PreCommencementTenderOffer_c6acf910-5794-4ecc-b18a-dd2b719acd1e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_b2d57ead-b47a-4d10-a15d-f5377a4ff97e" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_b2d57ead-b47a-4d10-a15d-f5377a4ff97e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_11420ee4-4769-4eb4-b06b-715b513bbf01" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_Security12bTitle_11420ee4-4769-4eb4-b06b-715b513bbf01" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_ce5c0084-b09e-4578-bd8d-c33ac6fdaf25" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_TradingSymbol_ce5c0084-b09e-4578-bd8d-c33ac6fdaf25" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_c5fa35b3-9b83-49b9-a3a7-1438a7a411fd" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_SecurityExchangeName_c5fa35b3-9b83-49b9-a3a7-1438a7a411fd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_20156a12-9a91-4237-bf18-56d3d7c60e85" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityEmergingGrowthCompany_20156a12-9a91-4237-bf18-56d3d7c60e85" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_aafb5cb9-08c2-44aa-b005-828ede288584" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_EntityCentralIndexKey_aafb5cb9-08c2-44aa-b005-828ede288584" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_c9f34e6a-c3bd-4eaa-8668-0b587a4498ad" 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_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_AmendmentFlag_c9f34e6a-c3bd-4eaa-8668-0b587a4498ad" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate_9e3ea14a-c9c8-4223-a732-91386cb82a99" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_659b5403-3b05-4298-84bc-5091c96fa872" xlink:to="loc_dei_CurrentFiscalYearEndDate_9e3ea14a-c9c8-4223-a732-91386cb82a99" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
