<SEC-DOCUMENT>0001636043-19-000002.txt : 20191003
<SEC-HEADER>0001636043-19-000002.hdr.sgml : 20191003
<ACCEPTANCE-DATETIME>20191003104108
ACCESSION NUMBER:		0001636043-19-000002
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20191001
FILED AS OF DATE:		20191003
DATE AS OF CHANGE:		20191003

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Gallagher Michelle
		CENTRAL INDEX KEY:			0001636043

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-37827
		FILM NUMBER:		191134687

	MAIL ADDRESS:	
		STREET 1:		C/O TAL INTERNATIONAL GROUP, INC.
		STREET 2:		100 MANHATTANVILLE ROAD
		CITY:			PURCHASE
		STATE:			NY
		ZIP:			10577

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Triton International Ltd
		CENTRAL INDEX KEY:			0001660734
		STANDARD INDUSTRIAL CLASSIFICATION:	SERVICES-EQUIPMENT RENTAL & LEASING, NEC [7359]
		IRS NUMBER:				981276572
		STATE OF INCORPORATION:			D0
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		CANON'S COURT
		STREET 2:		22 VICTORIA STREET
		CITY:			HAMILTON
		STATE:			D0
		ZIP:			HM 12
		BUSINESS PHONE:		(914) 697-2900

	MAIL ADDRESS:	
		STREET 1:		CANON'S COURT
		STREET 2:		22 VICTORIA STREET
		CITY:			HAMILTON
		STATE:			D0
		ZIP:			HM 12
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_157011364510754.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-10-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001636043</rptOwnerCik>
            <rptOwnerName>Gallagher Michelle</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O TRITON CONTAINER INTERNATIONAL, INC</rptOwnerStreet1>
            <rptOwnerStreet2>100 MANHATTANVILLE ROAD</rptOwnerStreet2>
            <rptOwnerCity>PURCHASE</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10577</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Vice President, Controller</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2019-10-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>6500</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>34.1093</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6240</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Shares were sold pursuant to 10b5 plan.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Marc Pearlin as attorney in fact for Michelle Gallagher</signatureName>
        <signatureDate>2019-10-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
