<SEC-DOCUMENT>0001706146-19-000003.txt : 20190502
<SEC-HEADER>0001706146-19-000003.hdr.sgml : 20190502
<ACCEPTANCE-DATETIME>20190502184115
ACCESSION NUMBER:		0001706146-19-000003
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20190501
FILED AS OF DATE:		20190502
DATE AS OF CHANGE:		20190502

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Rollins Brad
		CENTRAL INDEX KEY:			0001706146

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-15093
		FILM NUMBER:		19793599

	MAIL ADDRESS:	
		STREET 1:		12500 SAN PEDRO, SUITE 120
		CITY:			SAN ANTONIO
		STATE:			TX
		ZIP:			78216

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			Payment Data Systems Inc
		CENTRAL INDEX KEY:			0001088034
		STANDARD INDUSTRIAL CLASSIFICATION:	FUNCTIONS RELATED TO DEPOSITORY BANKING, NEC [6099]
		IRS NUMBER:				980190072
		STATE OF INCORPORATION:			NV
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		3611 PAESANOS PARKWAY
		STREET 2:		SUITE 300
		CITY:			SAN ANTONIO
		STATE:			TX
		ZIP:			78231
		BUSINESS PHONE:		2102494100

	MAIL ADDRESS:	
		STREET 1:		3611 PAESANOS PARKWAY
		STREET 2:		SUITE 300
		CITY:			SAN ANTONIO
		STATE:			TX
		ZIP:			78231

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	PAYMENT DATA SYSTEMS INC
		DATE OF NAME CHANGE:	20030812

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BILLSERV INC
		DATE OF NAME CHANGE:	20011219

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	BILLSERV COM INC
		DATE OF NAME CHANGE:	19990607
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>wf-form4_155683686076597.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-05-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001088034</issuerCik>
        <issuerName>Payment Data Systems Inc</issuerName>
        <issuerTradingSymbol>PYDS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001706146</rptOwnerCik>
            <rptOwnerName>Rollins Brad</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3611 PAESANOS PARKWAY, SUITE 300</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN ANTONIO</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>78231</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 Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-05-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>22222</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>44445</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.0</value>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-05-01</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>22222</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2019-05-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2029-05-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>22222.0</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>22222</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The reporting owner converted 22,222 restricted stock units granted to him on May 5, 2017 for services on the Board of Directors of the Issuer, and such units vested on May 1, 2019.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Brad Rollins</signatureName>
        <signatureDate>2019-05-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
