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Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 JLYodbLLr8Rh3ZmrSViCoSnWF0kxW8+oKex08i0oiWa9B5aRKJ1a1YXgDVqENyuj
 OWdzpik3YQi62ejiuclRJA==

<SEC-DOCUMENT>0001080731-04-000006.txt : 20040625
<SEC-HEADER>0001080731-04-000006.hdr.sgml : 20040625
<ACCEPTANCE-DATETIME>20040625183528
ACCESSION NUMBER:		0001080731-04-000006
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040623
FILED AS OF DATE:		20040625

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			CLEVELAND RUSSELL
		CENTRAL INDEX KEY:			0001132090

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-11900
		FILM NUMBER:		04883030

	BUSINESS ADDRESS:	
		STREET 1:		8080 N CENTRAL EXPWY
		STREET 2:		STE 210 LB 59
		CITY:			DALLAS
		STATE:			TX
		ZIP:			75206

	MAIL ADDRESS:	
		STREET 1:		8080 N CENTRAL EXPWY
		STREET 2:		STE 210 LB 59
		CITY:			DALLAS
		STATE:			TX
		ZIP:			75206

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			INTEGRATED SECURITY SYSTEMS INC
		CENTRAL INDEX KEY:			0000741114
		STANDARD INDUSTRIAL CLASSIFICATION:	COMMUNICATIONS EQUIPMENT, NEC [3669]
		IRS NUMBER:				752422983
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			0630

	BUSINESS ADDRESS:	
		STREET 1:		8200 SPRINGWOOD DR STE 230
		CITY:			IRVING
		STATE:			TX
		ZIP:			75063
		BUSINESS PHONE:		9724448280

	MAIL ADDRESS:	
		STREET 1:		8200 SPRINGWOOD DR SUITE 230
		CITY:			IRVING
		STATE:			TX
		ZIP:			75063
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>cleveizziwarrantexercise4_ex.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-06-23</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000741114</issuerCik>
        <issuerName>INTEGRATED SECURITY SYSTEMS INC</issuerName>
        <issuerTradingSymbol>IZZI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001132090</rptOwnerCik>
            <rptOwnerName>CLEVELAND RUSSELL</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>8080 N CENTRAL EXPWY</rptOwnerStreet1>
            <rptOwnerStreet2>STE 210 LB 59</rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75206</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2004-06-23</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>X</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2425000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.20</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>26898362</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F1"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Shares held by Renaissance Capital Growth &amp; Income Fund III, Inc. (&quot;RENN&quot;)</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Warrants (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.20</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-06-23</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>X</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>2425000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.20</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>2425000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Shares held by RENN</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Filer is an Executive Officer of RENN Capital Group, Inc., the Investment Adviser to RENN, and may therefore be deemed the
 beneficial owner of shares owned by that entity. Filer disclaims ownership of all shares owned by RENN.</footnote>
        <footnote id="F2">Warrants are immediately exerciseable from grant date and expire five years from grant date.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>Russell Cleveland</signatureName>
        <signatureDate>2004-06-25</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
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