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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e9523-5886-796c-ba91-0195a6028c3d,g:0af8be9c-7efc-46fc-b701-cef1f1fee525-->
<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.teleflex.com/role/A8KCoverPage" xlink:type="simple" xlink:href="tfx-20260608.xsd#A8KCoverPage"/>
  <link:presentationLink xlink:role="http://www.teleflex.com/role/A8KCoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e9523-5886-7e0d-8ca0-867c61041ee6" 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_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_DocumentType_019e9523-5886-7e0d-8ca0-867c61041ee6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e9523-5886-75bf-af0b-7d4d654b44e0" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityRegistrantName_019e9523-5886-75bf-af0b-7d4d654b44e0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e9523-5886-731b-a83c-707acc0db8a8" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_DocumentPeriodEndDate_019e9523-5886-731b-a83c-707acc0db8a8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e9523-5886-7647-be48-3bc63a949f1a" 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_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e9523-5886-7647-be48-3bc63a949f1a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e9523-5886-7f49-86a8-c6f25f01cef3" 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_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityFileNumber_019e9523-5886-7f49-86a8-c6f25f01cef3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019e9523-5886-7f5a-8c45-6a5ebe960ef3" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityTaxIdentificationNumber_019e9523-5886-7f5a-8c45-6a5ebe960ef3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e9523-5886-7c3d-a6fa-8032512c86a2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityAddressAddressLine1_019e9523-5886-7c3d-a6fa-8032512c86a2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e9523-5886-7234-b3f6-9c9c45555113" 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_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityAddressCityOrTown_019e9523-5886-7234-b3f6-9c9c45555113" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019e9523-5886-78bd-b6dc-c9ddb38623ee" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityAddressStateOrProvince_019e9523-5886-78bd-b6dc-c9ddb38623ee" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e9523-5886-79f1-9510-3f3c75e65a1c" 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_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityAddressPostalZipCode_019e9523-5886-79f1-9510-3f3c75e65a1c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e9523-5886-73e8-b356-7d399feb17f9" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_CityAreaCode_019e9523-5886-73e8-b356-7d399feb17f9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e9523-5886-70cc-9840-8a0c9ff80f3d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_LocalPhoneNumber_019e9523-5886-70cc-9840-8a0c9ff80f3d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e9523-5886-701c-8f1c-148fe4aa21b2" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_Security12bTitle_019e9523-5886-701c-8f1c-148fe4aa21b2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e9523-5886-78ac-a0ff-2473b8bc8cc0" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_TradingSymbol_019e9523-5886-78ac-a0ff-2473b8bc8cc0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e9523-5886-7560-a1fb-3330a453ad15" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_SecurityExchangeName_019e9523-5886-7560-a1fb-3330a453ad15" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e9523-5886-72f3-9a3e-9a535f61266f" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_WrittenCommunications_019e9523-5886-72f3-9a3e-9a535f61266f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e9523-5886-78e5-a689-0933e4eb70fb" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_SolicitingMaterial_019e9523-5886-78e5-a689-0933e4eb70fb" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e9523-5886-706a-b189-e79f78827e6d" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_PreCommencementTenderOffer_019e9523-5886-706a-b189-e79f78827e6d" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e9523-5886-783e-bda2-b5b23d56190c" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e9523-5886-783e-bda2-b5b23d56190c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e9523-5886-7983-8574-a895592c8f08" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e9523-5886-7983-8574-a895592c8f08" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e9523-5886-7b18-8033-04ecf0b1bb37" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_EntityCentralIndexKey_019e9523-5886-7b18-8033-04ecf0b1bb37" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e9523-5886-751e-af05-c5e838e8e811" 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_019e9523-5886-7486-bac3-bfdf20fd930f" xlink:to="loc_dei_AmendmentFlag_019e9523-5886-751e-af05-c5e838e8e811" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
