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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:355c8e1e-2c65-46d2-900a-bb9edbdf559c,g:63a4bb8b-04a2-4ede-9802-a4a986c41162-->
<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.grailbio.com/role/Cover" xlink:type="simple" xlink:href="gral-20250513.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.grailbio.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_53c38d87-d0a7-403f-9135-d4488d589765" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_AmendmentFlag_53c38d87-d0a7-403f-9135-d4488d589765" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_2a2a277e-9551-4d5e-888c-484210f99a7d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityCentralIndexKey_2a2a277e-9551-4d5e-888c-484210f99a7d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_4d35e322-6240-4a3d-8bd6-f1f8aa5eb1fa" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentType"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_DocumentType_4d35e322-6240-4a3d-8bd6-f1f8aa5eb1fa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_2ad6bc21-1d7e-4191-b1f3-86802bb9bd74" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_DocumentPeriodEndDate_2ad6bc21-1d7e-4191-b1f3-86802bb9bd74" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_00c4ddb0-fc6f-4140-bff4-79c249980e10" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityRegistrantName_00c4ddb0-fc6f-4140-bff4-79c249980e10" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_35eaa3cb-3ecd-4d9f-b0f1-5fcc6c57b5f2" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityIncorporationStateCountryCode_35eaa3cb-3ecd-4d9f-b0f1-5fcc6c57b5f2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_cb3f1170-95a1-473b-a549-b6e58e71fb94" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityFileNumber_cb3f1170-95a1-473b-a549-b6e58e71fb94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_05f72345-0cb0-4d19-89c5-0ed381ac953d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityTaxIdentificationNumber_05f72345-0cb0-4d19-89c5-0ed381ac953d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_f82007b6-0ba1-4e9d-9d0d-f3665413ba49" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityAddressAddressLine1_f82007b6-0ba1-4e9d-9d0d-f3665413ba49" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_03627edf-6bb8-4ac7-b94e-2c0eb9cd8ffc" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityAddressCityOrTown_03627edf-6bb8-4ac7-b94e-2c0eb9cd8ffc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_b4d4e164-efc5-427a-bdce-7bff0a7d619f" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityAddressStateOrProvince_b4d4e164-efc5-427a-bdce-7bff0a7d619f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_ecce1b9c-0058-4807-98f8-9ad463db6b8d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityAddressPostalZipCode_ecce1b9c-0058-4807-98f8-9ad463db6b8d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_90ca7dd7-6234-47fd-ade2-6030e1377f25" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_CityAreaCode_90ca7dd7-6234-47fd-ade2-6030e1377f25" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_f86a0833-8351-40e4-8ace-5f898af0089c" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_LocalPhoneNumber_f86a0833-8351-40e4-8ace-5f898af0089c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_9259548b-c744-4c26-ac2a-b6157bc3b309" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_WrittenCommunications_9259548b-c744-4c26-ac2a-b6157bc3b309" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_5ae480bb-0e2a-4fb9-a0a2-0b11478177b5" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_SolicitingMaterial_5ae480bb-0e2a-4fb9-a0a2-0b11478177b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_163885c6-1f4d-4b68-bb30-a458b36bf043" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_PreCommencementTenderOffer_163885c6-1f4d-4b68-bb30-a458b36bf043" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_8ae42c04-06c2-43c5-b272-806c15c9e4c6" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_8ae42c04-06c2-43c5-b272-806c15c9e4c6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_86335c21-bd00-4270-bb2f-5aee172c625d" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_Security12bTitle_86335c21-bd00-4270-bb2f-5aee172c625d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_96d01b30-31e6-4e1e-ba5f-2afe91a38ab1" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_TradingSymbol_96d01b30-31e6-4e1e-ba5f-2afe91a38ab1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_ba9b1e86-eab7-4982-a15e-c1290df6b261" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_SecurityExchangeName_ba9b1e86-eab7-4982-a15e-c1290df6b261" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_2bffbaa0-e9bb-4813-b197-a64cc03ea4a3" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityEmergingGrowthCompany_2bffbaa0-e9bb-4813-b197-a64cc03ea4a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod_68c1cc30-7c6e-4f3f-8f19-4c6b0b5737d4" xlink:href="https://xbrl.sec.gov/dei/2023/dei-2023.xsd#dei_EntityExTransitionPeriod"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_21501bf3-0fb5-406d-91c1-41fae4dfb188" xlink:to="loc_dei_EntityExTransitionPeriod_68c1cc30-7c6e-4f3f-8f19-4c6b0b5737d4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
