<SEC-DOCUMENT>0001660734-20-000030.txt : 20200423
<SEC-HEADER>0001660734-20-000030.hdr.sgml : 20200423
<ACCEPTANCE-DATETIME>20200423164413
ACCESSION NUMBER:		0001660734-20-000030
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		6
CONFORMED PERIOD OF REPORT:	20200421
FILED AS OF DATE:		20200423
DATE AS OF CHANGE:		20200423

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			COULTER DAVID A
		CENTRAL INDEX KEY:			0001179577

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-37827
		FILM NUMBER:		20811562

	MAIL ADDRESS:	
		STREET 1:		C/O WARBURG PINCUS LLC
		STREET 2:		450 LEXINGTON AVENUE
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10017

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:		VICTORIA PLACE, 5TH FLOOR
		STREET 2:		31 VICTORIA STREET
		CITY:			HAMILTON
		STATE:			D0
		ZIP:			HM 10
		BUSINESS PHONE:		(914) 697-2900

	MAIL ADDRESS:	
		STREET 1:		VICTORIA PLACE, 5TH FLOOR
		STREET 2:		31 VICTORIA STREET
		CITY:			HAMILTON
		STATE:			D0
		ZIP:			HM 10
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_158767462982041.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-04-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001179577</rptOwnerCik>
            <rptOwnerName>COULTER DAVID A</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>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2020-04-21</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>4677</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>37428</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Mr. Coulter was granted 4,677 common shares on April 21, 2020.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Carla Heiss as attorney in fact for David Coulter</signatureName>
        <signatureDate>2020-04-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>EX-24
<SEQUENCE>2
<FILENAME>coulterdavid.htm
<DESCRIPTION>POWER OF ATTORNEY DAVID A. COULTER
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<FILENAME>coulterdavid002.jpg
<DESCRIPTION>POWER OF ATTORNEY DAVID A. COULTER
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2**** "BBB@ HHHH **** /_9

end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>4
<FILENAME>coulterdavid004.jpg
<DESCRIPTION>POWER OF ATTORNEY DAVID A. COULTER
<TEXT>
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end
</TEXT>
</DOCUMENT>
<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>5
<FILENAME>coulterdavid001.jpg
<DESCRIPTION>POWER OF ATTORNEY DAVID A. COULTER
<TEXT>
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<DOCUMENT>
<TYPE>GRAPHIC
<SEQUENCE>6
<FILENAME>coulterdavid003.jpg
<DESCRIPTION>POWER OF ATTORNEY DAVID A. COULTER
<TEXT>
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end
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
