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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e037c-aea1-7aa9-a25a-9e09d5e8ce7e,g:737f62c0-30c2-44cc-b280-11a6777ef8a4-->
<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://perimeter-solutions.com/role/CoverPage" xlink:type="simple" xlink:href="prm-20260528.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://perimeter-solutions.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:href="prm-20260528.xsd#prm_CoverPageAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e037c-aea1-7e67-8a2e-089ab6af125f" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_DocumentType_019e037c-aea1-7e67-8a2e-089ab6af125f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e037c-aea1-7fda-b8d7-effd45361e5c" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_DocumentPeriodEndDate_019e037c-aea1-7fda-b8d7-effd45361e5c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e037c-aea1-778c-b6bb-5618f4c397e8" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityRegistrantName_019e037c-aea1-778c-b6bb-5618f4c397e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e037c-aea1-7045-9d88-bafab6d6c92c" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e037c-aea1-7045-9d88-bafab6d6c92c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e037c-aea1-7bb9-acca-f17bfab67c02" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityFileNumber_019e037c-aea1-7bb9-acca-f17bfab67c02" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019e037c-aea1-7ec8-8c75-5a180c1cd3f3" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityTaxIdentificationNumber_019e037c-aea1-7ec8-8c75-5a180c1cd3f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e037c-aea1-7917-be96-9dae2629d706" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityAddressAddressLine1_019e037c-aea1-7917-be96-9dae2629d706" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_019e037c-aea1-7917-8c3a-ee50cd6b57e1" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityAddressAddressLine2_019e037c-aea1-7917-8c3a-ee50cd6b57e1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e037c-aea1-7aab-8caa-39544a2e83f3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityAddressCityOrTown_019e037c-aea1-7aab-8caa-39544a2e83f3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019e037c-aea1-73be-8121-290078213dbe" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityAddressStateOrProvince_019e037c-aea1-73be-8121-290078213dbe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e037c-aea1-76c6-854b-fc991bf761e5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityAddressPostalZipCode_019e037c-aea1-76c6-854b-fc991bf761e5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e037c-aea1-77c0-96bf-f5fd0c5b94d9" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_CityAreaCode_019e037c-aea1-77c0-96bf-f5fd0c5b94d9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e037c-aea1-7d2e-8f31-a865597b6f68" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_LocalPhoneNumber_019e037c-aea1-7d2e-8f31-a865597b6f68" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e037c-aea1-73a8-8bbc-1adbdfe94e4c" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_WrittenCommunications_019e037c-aea1-73a8-8bbc-1adbdfe94e4c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e037c-aea1-7119-a8f2-f4dde038c9af" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_SolicitingMaterial_019e037c-aea1-7119-a8f2-f4dde038c9af" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e037c-aea1-7a8d-b7e4-63258e4d9f0a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_PreCommencementTenderOffer_019e037c-aea1-7a8d-b7e4-63258e4d9f0a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e037c-aea1-7dbd-b59b-482aef400921" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e037c-aea1-7dbd-b59b-482aef400921" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e037c-aea1-72f6-a063-164f541e2306" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_Security12bTitle_019e037c-aea1-72f6-a063-164f541e2306" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e037c-aea1-761f-ae10-2663ed7c1e5c" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_TradingSymbol_019e037c-aea1-761f-ae10-2663ed7c1e5c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e037c-aea1-7b3d-b6fb-d732999cc14a" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_SecurityExchangeName_019e037c-aea1-7b3d-b6fb-d732999cc14a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e037c-aea1-76cb-b0ad-d4dec1146f17" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e037c-aea1-76cb-b0ad-d4dec1146f17" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e037c-aea1-7a52-aa67-fcb7706309d2" 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_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_AmendmentFlag_019e037c-aea1-7a52-aa67-fcb7706309d2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e037c-aea1-785e-95e1-5197a95d46b1" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_prm_CoverPageAbstract_019e037c-aea1-78cc-a637-c7011f247895" xlink:to="loc_dei_EntityCentralIndexKey_019e037c-aea1-785e-95e1-5197a95d46b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
