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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019cb54a-f82f-7e36-9ef7-c3bd4bb5a403,g:2f8c684f-d0f3-4352-b7f5-03bc56131326-->
<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.burfordcapital.com/role/CoverPage" xlink:type="simple" xlink:href="bur-20260303.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.burfordcapital.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019cb54a-f82f-7042-9aa9-8c4cc56428c1" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_DocumentType_019cb54a-f82f-7042-9aa9-8c4cc56428c1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019cb54a-f82f-7596-8d8c-34d1696d5cf6" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_DocumentPeriodEndDate_019cb54a-f82f-7596-8d8c-34d1696d5cf6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019cb54a-f82f-73ad-b67b-446a237a2ff8" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityRegistrantName_019cb54a-f82f-73ad-b67b-446a237a2ff8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019cb54a-f82f-76c6-b866-bf5a7016c781" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019cb54a-f82f-76c6-b866-bf5a7016c781" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019cb54a-f82f-7195-b20d-7d57d0591396" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityFileNumber_019cb54a-f82f-7195-b20d-7d57d0591396" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019cb54a-f82f-7035-8040-35cae8fd2819" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityAddressAddressLine1_019cb54a-f82f-7035-8040-35cae8fd2819" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine2_019cb54a-f82f-737f-9630-1a80cf75b0ea" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine2"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityAddressAddressLine2_019cb54a-f82f-737f-9630-1a80cf75b0ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019cb54a-f82f-7708-81f8-58623aeb57bf" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityAddressCityOrTown_019cb54a-f82f-7708-81f8-58623aeb57bf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCountry_019cb54a-f82f-7043-954c-f743798b65cd" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCountry"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityAddressCountry_019cb54a-f82f-7043-954c-f743798b65cd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019cb54a-f82f-7c98-9a88-6b1a75aaa102" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityAddressPostalZipCode_019cb54a-f82f-7c98-9a88-6b1a75aaa102" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CountryRegion_019cb54a-f82f-71c9-a9e6-8e732b0578d7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CountryRegion"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_CountryRegion_019cb54a-f82f-71c9-a9e6-8e732b0578d7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019cb54a-f82f-7958-98ff-1da65d509e6a" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_CityAreaCode_019cb54a-f82f-7958-98ff-1da65d509e6a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019cb54a-f82f-7b65-bfab-402c820a92c7" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_LocalPhoneNumber_019cb54a-f82f-7b65-bfab-402c820a92c7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019cb54a-f82f-7306-a849-cfdf2570b21a" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_WrittenCommunications_019cb54a-f82f-7306-a849-cfdf2570b21a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019cb54a-f82f-7eb3-8c72-28b13c2e2635" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_SolicitingMaterial_019cb54a-f82f-7eb3-8c72-28b13c2e2635" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019cb54a-f82f-7261-a370-ba5e7cec75e0" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_PreCommencementTenderOffer_019cb54a-f82f-7261-a370-ba5e7cec75e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019cb54a-f82f-703d-aa28-49fa50bbae80" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019cb54a-f82f-703d-aa28-49fa50bbae80" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019cb54a-f82f-77ab-82db-b0e2a578c6f2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_Security12bTitle_019cb54a-f82f-77ab-82db-b0e2a578c6f2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019cb54a-f82f-76d7-838f-96666bb18320" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_TradingSymbol_019cb54a-f82f-76d7-838f-96666bb18320" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019cb54a-f82f-7529-8d3d-0aa0f606fbbf" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_SecurityExchangeName_019cb54a-f82f-7529-8d3d-0aa0f606fbbf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019cb54a-f82f-701a-9038-4c37b4836eca" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityEmergingGrowthCompany_019cb54a-f82f-701a-9038-4c37b4836eca" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019cb54a-f82f-738d-bbc2-898ff5be19cf" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_AmendmentFlag_019cb54a-f82f-738d-bbc2-898ff5be19cf" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019cb54a-f82f-7429-ab84-978e794c2443" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019cb54a-f82f-7252-864f-8d79f1150d0a" xlink:to="loc_dei_EntityCentralIndexKey_019cb54a-f82f-7429-ab84-978e794c2443" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
