<SEC-DOCUMENT>0001262976-20-000100.txt : 20201117
<SEC-HEADER>0001262976-20-000100.hdr.sgml : 20201117
<ACCEPTANCE-DATETIME>20201117091205
ACCESSION NUMBER:		0001262976-20-000100
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20201115
FILED AS OF DATE:		20201117
DATE AS OF CHANGE:		20201117

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Sternberg Zachary
		CENTRAL INDEX KEY:			0001679333

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-39148
		FILM NUMBER:		201319376

	MAIL ADDRESS:	
		STREET 1:		435 HUDSON STREET
		STREET 2:		SUITE 804
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10014

	FORMER NAME:	
		FORMER CONFORMED NAME:	Sternberg Zach
		DATE OF NAME CHANGE:	20160711

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			CIMPRESS plc
		CENTRAL INDEX KEY:			0001262976
		STANDARD INDUSTRIAL CLASSIFICATION:	COMMERCIAL PRINTING [2750]
		IRS NUMBER:				980417483
		STATE OF INCORPORATION:			P7
		FISCAL YEAR END:			0630

	BUSINESS ADDRESS:	
		STREET 1:		BUILDING D, XEROX TECHNOLOGY PARK
		CITY:			DUNDALK, COUNTY LOUTH
		STATE:			L2
		ZIP:			A91 H9N9
		BUSINESS PHONE:		781-652-6300

	MAIL ADDRESS:	
		STREET 1:		C/O CIMPRESS USA INCORPORATED
		STREET 2:		275 WYMAN STREET
		CITY:			WALTHAM
		STATE:			MA
		ZIP:			02451

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	CIMPRESS N.V.
		DATE OF NAME CHANGE:	20141114

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VISTAPRINT N.V.
		DATE OF NAME CHANGE:	20090828

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	VISTAPRINT LTD
		DATE OF NAME CHANGE:	20030908
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_160562231215639.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-11-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001262976</issuerCik>
        <issuerName>CIMPRESS plc</issuerName>
        <issuerTradingSymbol>CMPR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001679333</rptOwnerCik>
            <rptOwnerName>Sternberg Zachary</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SPRUCE HOUSE CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>435 HUDSON STREET, 8TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10014</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Performance Share Units</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>111.23</value>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-11-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1123</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2030-11-15</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1123.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1123</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each of these performance share units (PSU) represents a right to receive between 0 and 2.5 Cimpress ordinary shares upon the satisfaction of both (A) service-based vesting and (B) performance conditions relating to the compound annual growth rate (CAGR) of the three-year moving average daily price per share of Cimpress' ordinary shares (3YMA). The service-based vesting condition is that 25% of the original number of PSUs vest on each November 24 of 2021 through 2024 so long as the reporting person continues to be an eligible participant under Cimpress' 2016 Performance Incentive Plan on such vesting date. If the 3YMA CAGR equals or exceeds 11% on any of the sixth through tenth anniversaries of the grant date, then the reporting person is entitled to receive a distribution of up to 2.5 Cimpress ordinary shares for each vested PSU on a sliding scale based on the actual CAGR performance.</footnote>
        <footnote id="F2">This dollar amount is the 3YMA on the date of grant, which is the baseline against which the CAGR of the 3YMA will be measured.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/Kathryn L. Leach, as attorney-in fact-for Zachary Sternberg</signatureName>
        <signatureDate>2020-11-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
