-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 Ep2bwnCIYcxS8xwgePam0PPHMdJCcF6JEpGu/L+b0eyO0Kps7LAXAEItGmlcwfal
 bDXUFuzanSQ+Dfo0PcGxCA==

<SEC-DOCUMENT>0001140361-10-022630.txt : 20100521
<SEC-HEADER>0001140361-10-022630.hdr.sgml : 20100521
<ACCEPTANCE-DATETIME>20100521153939
ACCESSION NUMBER:		0001140361-10-022630
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20100521
FILED AS OF DATE:		20100521
DATE AS OF CHANGE:		20100521

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			SWAIN WILLIAM
		CENTRAL INDEX KEY:			0001110808

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-21683
		FILM NUMBER:		10850996

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			GRAPHON CORP/DE
		CENTRAL INDEX KEY:			0001021435
		STANDARD INDUSTRIAL CLASSIFICATION:	SERVICES-PREPACKAGED SOFTWARE [7372]
		IRS NUMBER:				133899021
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0217

	BUSINESS ADDRESS:	
		STREET 1:		5400 SOQUEL AVENUE
		STREET 2:		SUITE A2
		CITY:			SANTA CRUZ
		STATE:			CA
		ZIP:			95062
		BUSINESS PHONE:		8004727466

	MAIL ADDRESS:	
		STREET 1:		5400 SOQUEL AVENUE
		STREET 2:		SUITE A2
		CITY:			SANTA CRUZ
		STATE:			CA
		ZIP:			95062

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	UNITY FIRST ACQUISITION CORP
		DATE OF NAME CHANGE:	19960823
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2010-05-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001021435</issuerCik>
        <issuerName>GRAPHON CORP/DE</issuerName>
        <issuerTradingSymbol>GOJO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001110808</rptOwnerCik>
            <rptOwnerName>SWAIN WILLIAM</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O GRAPHON CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>5400 SOQUEL AVENUE, SUITE A2</rptOwnerStreet2>
            <rptOwnerCity>SANTA CRUZ</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>95062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CFO and Secretary</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2010-05-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>75000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.07</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>144800</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes></footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ William Swain</signatureName>
        <signatureDate>2010-05-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----