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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019f3d16-7b5c-73b1-bc50-b696a8cda802,g:d96c32c8-1a03-4fb0-ba0c-342cb5f4df21-->
<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.primemedicine.com/role/Cover" xlink:type="simple" xlink:href="prme-20260706.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.primemedicine.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019f3d16-7b5c-7de5-a951-6535bdfb4053" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_DocumentType_019f3d16-7b5c-7de5-a951-6535bdfb4053" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019f3d16-7b5c-79ca-af7e-373ae076b7ba" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_DocumentPeriodEndDate_019f3d16-7b5c-79ca-af7e-373ae076b7ba" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019f3d16-7b5c-7e97-97ad-f2f09676e043" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityRegistrantName_019f3d16-7b5c-7e97-97ad-f2f09676e043" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019f3d16-7b5c-7a57-8078-aae59431de48" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019f3d16-7b5c-7a57-8078-aae59431de48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019f3d16-7b5c-7513-8127-7c89ce23ede0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityFileNumber_019f3d16-7b5c-7513-8127-7c89ce23ede0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019f3d16-7b5c-784d-b0d2-3a9826a5a679" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityTaxIdentificationNumber_019f3d16-7b5c-784d-b0d2-3a9826a5a679" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019f3d16-7b5c-71f2-bd46-96bc8bf7e240" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityAddressAddressLine1_019f3d16-7b5c-71f2-bd46-96bc8bf7e240" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019f3d16-7b5c-7a5f-9848-269123915fb8" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityAddressCityOrTown_019f3d16-7b5c-7a5f-9848-269123915fb8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019f3d16-7b5c-776f-8edf-1e9ef1860e71" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityAddressStateOrProvince_019f3d16-7b5c-776f-8edf-1e9ef1860e71" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019f3d16-7b5c-7db2-9e4d-fe27856106d8" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityAddressPostalZipCode_019f3d16-7b5c-7db2-9e4d-fe27856106d8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019f3d16-7b5c-754e-b9d1-b59d4ddad98a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_CityAreaCode_019f3d16-7b5c-754e-b9d1-b59d4ddad98a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019f3d16-7b5c-74be-a59c-a97667c9f770" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_LocalPhoneNumber_019f3d16-7b5c-74be-a59c-a97667c9f770" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019f3d16-7b5c-76f2-b33b-ba5595d3a5b8" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_WrittenCommunications_019f3d16-7b5c-76f2-b33b-ba5595d3a5b8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019f3d16-7b5c-70d2-ae2e-fd758ee0c2e2" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_SolicitingMaterial_019f3d16-7b5c-70d2-ae2e-fd758ee0c2e2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019f3d16-7b5c-79f0-b6b4-b09c33e04273" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_PreCommencementTenderOffer_019f3d16-7b5c-79f0-b6b4-b09c33e04273" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019f3d16-7b5c-7644-b0af-5223d63fedce" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019f3d16-7b5c-7644-b0af-5223d63fedce" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019f3d16-7b5c-7c07-8ee3-1cae54fefa07" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_Security12bTitle_019f3d16-7b5c-7c07-8ee3-1cae54fefa07" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019f3d16-7b5c-7afa-88f4-c6fb20fa7307" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_TradingSymbol_019f3d16-7b5c-7afa-88f4-c6fb20fa7307" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019f3d16-7b5c-7ceb-92e9-8ea8bcf0dedc" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_SecurityExchangeName_019f3d16-7b5c-7ceb-92e9-8ea8bcf0dedc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019f3d16-7b5c-71e7-9ecd-e83e7e5c85de" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityEmergingGrowthCompany_019f3d16-7b5c-71e7-9ecd-e83e7e5c85de" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_019f3d16-7b5c-784d-bb66-e2c0e5b84a4e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityExTransitionPeriod"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityExTransitionPeriod_019f3d16-7b5c-784d-bb66-e2c0e5b84a4e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019f3d16-7b5c-7beb-bca5-6db279540594" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_EntityCentralIndexKey_019f3d16-7b5c-7beb-bca5-6db279540594" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019f3d16-7b5c-761f-9bce-568397599e1d" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019f3d16-7b5c-75b3-b0e5-64785ac44e73" xlink:to="loc_dei_AmendmentFlag_019f3d16-7b5c-761f-9bce-568397599e1d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
