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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-11-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001660734</issuerCik>
        <issuerName>Triton International Ltd</issuerName>
        <issuerTradingSymbol>TRTN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001692221</rptOwnerCik>
            <rptOwnerName>Bharti Global Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1/3/5 CASTLE STREET (GROUND FLOOR)</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ST. HELIER</rptOwnerCity>
            <rptOwnerState>Y9</rptOwnerState>
            <rptOwnerZipCode>JE2 3BT</rptOwnerZipCode>
            <rptOwnerStateDescription>JERSEY</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001692539</rptOwnerCik>
            <rptOwnerName>Bharti Overseas Private Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>BHARTI CRESCENT, 1, NELSON MANDELA ROAD</rptOwnerStreet1>
            <rptOwnerStreet2>VASANT KUNJ, PHASE -2</rptOwnerStreet2>
            <rptOwnerCity>NEW DELHI</rptOwnerCity>
            <rptOwnerState>K7</rptOwnerState>
            <rptOwnerZipCode>110070</rptOwnerZipCode>
            <rptOwnerStateDescription>INDIA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2018-11-01</value>
                <footnoteId id="F2"/>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>337000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>34.78</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8280590</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F1"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Bharti Overseas Private Limited, a private limited company formed under the laws of India (&quot;BOPL&quot;) is the sole shareholder of Bharti Global Limited, a private limited company formed under the laws of Jersey (&quot;BGL&quot;, and together with BOPL, the &quot;Reporting Persons&quot;), which directly, and indirectly through a wholly-owned subsidiary, holds the common shares (the &quot;Common Shares&quot;) of Triton International Limited, a Bermuda exempted company (the &quot;Issuer&quot;). Because of BOPL's relationship to BGL, BOPL may be deemed to beneficially own the Common Shares of the Issuer beneficially owned by BGL.</footnote>
        <footnote id="F2">On October 5, 2018, BGL entered into a Share Purchase Agreement (the &quot;Share Purchase Agreement&quot;) to purchase 337,000 Common Shares at a price of $34.78 per share. The transaction was subject to certain closing conditions, including expiration or termination of the applicable waiting period under the Hart-Scott-Rodino Antitrust Improvements Act of 1976, as amended, which was terminated on November 1, 2018. On November 1, 2018, all material conditions to closing of the Share Purchase Agreement were satisfied.</footnote>
        <footnote id="F3">Pursuant to Rule 16a-1(a)(4) of the Exchange Act of 1934, as amended (the &quot;Exchange Act&quot;), BOPL herein states that this Form 4 shall not be deemed an admission that it is the beneficial owner of any of the Common Shares of the Issuer reported in this Form 4. BOPL disclaims beneficial ownership of the Common Shares of the Issuer, except to the extent of its pecuniary interest in such Common Shares.</footnote>
        <footnote id="F4">Information with respect to each Reporting Person is given solely by such Reporting Person, and neither of the Reporting Persons has responsibility for the accuracy or completeness of information supplied by another of the Reporting Persons.</footnote>
        <footnote id="F5">Solely for the purposes of Section 16 of the Exchange Act, each of the Reporting Persons may be deemed a director-by-deputization by virtue of the contractual right of a shareholder group of which BGL is a party to appoint one or more directors to the board of directors of the Issuer, pursuant to that certain Sponsor Shareholders Agreement (Warburg Pincus), by and among the Issuer, BGL and the other shareholders party thereto, dated as of November 9, 2015, as amended.</footnote>
    </footnotes>

    <remarks>(6) The Reporting Persons are jointly filing this Form 4 pursuant to Rule 16a-3(j) under the Exchange Act.</remarks>

    <ownerSignature>
        <signatureName>/s/ SONAL KAPASI, Authorized Signatory, Bharti Global Limited (6)</signatureName>
        <signatureDate>2018-11-05</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ PUNEET TANDON, Authorized Signatory, Bharti Overseas Private Limited (6)</signatureName>
        <signatureDate>2018-11-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
