<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2025-05-09</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000096943</issuerCik>
        <issuerName>TELEFLEX INC</issuerName>
        <issuerTradingSymbol>TFX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001233296</rptOwnerCik>
            <rptOwnerName>HEINMILLER JOHN C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O 550 E. SWEDESFORD ROAD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>WAYNE</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19087</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2025-05-09</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1051</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4176</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>864</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Family Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option / (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>125.11</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2025-05-09</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2226</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2026-05-09</value>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2035-05-09</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2226</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2226</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Restricted Stock Unit Award granted pursuant to the Teleflex Incorporated 2023 Stock Incentive Plan. Award vests on the one-year anniversary of the grant date; provided, however, if the reporting person does not stand for re-election to the issuer's board of directors at the issuer's 2026 annual meeting of stockholders (the &quot;2026 Annual Meeting&quot;), the award will vest on the earlier of the one-year anniversary of the grant date and the date of the 2026 Annual Meeting, so long as such meeting is held at least 50 weeks after the issuer's 2025 annual meeting of stockholders.</footnote>
        <footnote id="F2">If the reporting person does not stand for re-election to the issuer's board of directors at the issuer's 2026 annual meeting of stockholders (the &quot;2026 Annual Meeting&quot;), the award will vest on the earlier of the one-year anniversary of the grant date and the date of the 2026 Annual Meeting, so long as such meeting is held at least 50 weeks after the issuer's 2025 annual meeting of stockholders.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Daniel V. Logue with POA for John Heinmiller</signatureName>
        <signatureDate>2025-05-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
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X0508
4
2025-05-09
0
0000096943
TELEFLEX INC
TFX
0001233296
HEINMILLER JOHN C
C/O 550 E. SWEDESFORD ROAD
SUITE 400
WAYNE
PA
19087
1
0
0
0
0
Common Stock
2025-05-09
4
A
0
1051
0
A
4176
D
Common Stock
864
I
By Family Trust
Stock Option / (Right to Buy)
125.11
2025-05-09
4
A
0
2226
0
A
2026-05-09
2035-05-09
Common Stock
2226
2226
D
Restricted Stock Unit Award granted pursuant to the Teleflex Incorporated 2023 Stock Incentive Plan. Award vests on the one-year anniversary of the grant date; provided, however, if the reporting person does not stand for re-election to the issuer's board of directors at the issuer's 2026 annual meeting of stockholders (the "2026 Annual Meeting"), the award will vest on the earlier of the one-year anniversary of the grant date and the date of the 2026 Annual Meeting, so long as such meeting is held at least 50 weeks after the issuer's 2025 annual meeting of stockholders.
If the reporting person does not stand for re-election to the issuer's board of directors at the issuer's 2026 annual meeting of stockholders (the "2026 Annual Meeting"), the award will vest on the earlier of the one-year anniversary of the grant date and the date of the 2026 Annual Meeting, so long as such meeting is held at least 50 weeks after the issuer's 2025 annual meeting of stockholders.
Daniel V. Logue with POA for John Heinmiller
2025-05-13