<SEC-DOCUMENT>0001273685-20-000006.txt : 20200103
<SEC-HEADER>0001273685-20-000006.hdr.sgml : 20200103
<ACCEPTANCE-DATETIME>20200103165552
ACCESSION NUMBER:		0001273685-20-000006
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20200101
FILED AS OF DATE:		20200103
DATE AS OF CHANGE:		20200103

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Nario-Eng Kristine Rimando
		CENTRAL INDEX KEY:			0001608612

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-32216
		FILM NUMBER:		20506394

	MAIL ADDRESS:	
		STREET 1:		275 MADISON AVENUE
		STREET 2:		SUITE 3200
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10016

	FORMER NAME:	
		FORMER CONFORMED NAME:	Nario Kristine Rimando
		DATE OF NAME CHANGE:	20140520

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			NEW YORK MORTGAGE TRUST INC
		CENTRAL INDEX KEY:			0001273685
		STANDARD INDUSTRIAL CLASSIFICATION:	REAL ESTATE INVESTMENT TRUSTS [6798]
		IRS NUMBER:				470934168
		STATE OF INCORPORATION:			MD
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		90 PARK AVENUE
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10016
		BUSINESS PHONE:		(212) 792-0107

	MAIL ADDRESS:	
		STREET 1:		90 PARK AVENUE
		CITY:			NEW YORK
		STATE:			NY
		ZIP:			10016
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_157808853550766.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-01-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001273685</issuerCik>
        <issuerName>NEW YORK MORTGAGE TRUST INC</issuerName>
        <issuerTradingSymbol>NYMT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001608612</rptOwnerCik>
            <rptOwnerName>Nario-Eng Kristine Rimando</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NEW YORK MORTGAGE TRUST, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>90 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10016</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable></nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2020-01-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>30096</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock, par value $0.01 per share</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>30096.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>30096</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Represents restricted stock units (&quot;RSUs&quot;) issued pursuant to New York Mortgage Trust's (&quot;NYMT&quot;) 2017 Equity Incentive Plan (as amended) under NYMT's 2020 Long-Term Equity Plan, 1/3 of which will become fully vested and non-forfeitable on each of the first,second and third anniversaries of the date of grant. Pursuant to a restricted stock unit award agreement (the &quot;RSU Award Agreement&quot;), the RSUs represent the right to receive shares of common stock of NYMT on a one-to-one basis upon vesting, subject to the terms andconditions of the RSU Award Agreement, and are granted in tandem with a corresponding dividend equivalent right that entitles, upon vesting, the reporting person to receive payments in cash or stock of NYMT equivalent to any dividends paid by NYMT on the shares ofNYMT common stock underlying the RSUs.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Kristine R. Nario-Eng</signatureName>
        <signatureDate>2020-01-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
