INTEGRATED SECURITY SYSTEMS INC
SC 13G, 1999-06-03
COMMUNICATIONS EQUIPMENT, NEC
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                         UNITED STATES
               SECURITIES AND EXCHANGE COMMISSION
                      Washington, DC 20549


                          SCHEDULE 13G

           Under the Securities Exchange Act of 1934

                       (Amendment No.  2)


               Integrated Security Systems, Inc.
_____________________________________________________________________________
                        (Name of Issuer)

                          Common Stock
_____________________________________________________________________________
                 (Title of Class of Securities)

                           45812J101
                   __________________________
                         (CUSIP Number)



<PAGE>
                              13G
CUSIP No.  45812J101
_____________________________________________________________________________
1.  NAME OF REPORTING PERSON           S.S. OR I.R.S. IDENTIFICATION NO.


    Renaissance Capital Growth and Income Fund III, Inc.   75-2533518
_____________________________________________________________________________
2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
    (a)
    (b)
_____________________________________________________________________________
3.  SEC USE ONLY

_____________________________________________________________________________
4.  CITIZENSHIP OR PLACE OF ORGANIZATION
    Texas
_____________________________________________________________________________

NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH:
_____________________________________________________________________________
5.  SOLE VOTING POWER
    5,926,094 shares
_____________________________________________________________________________
6.  SHARED VOTING POWER
    None
_____________________________________________________________________________
7.  SOLE DISPOSITIVE POWER
    5,926,094 shares
_____________________________________________________________________________
8.  SHARED DISPOSITIVE POWER
    None
_____________________________________________________________________________
9.  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
    5,926,094 shares
_____________________________________________________________________________
10. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
    Not applicable
_____________________________________________________________________________
11. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
    39.91%
_____________________________________________________________________________
12. TYPE OF REPORTING PERSON
    IV
_____________________________________________________________________________

<PAGE>
ITEM 1.
    (a) Name of Issuer.
        Integrated Security Systems, Inc.                     ("Company")

    (b) Address of Issuer's principal Executive Offices
        8200 Springwood Drive, Suite 230
        Irving, TX 75063

ITEM 2.

    (a) Name of Person Filing
        Renaissance Capital Growth and Income Fund III, Inc.  ("Filer")

    (b) Address of principal Business Office or, if none, Residence
        8080 North Central Expwy., Suite 210, LB 59
        Dallas, TX 75206-1857

    (c) Citizenship
        Texas

    (d) Title of Class of Securities
        Common Stock

    (e) CUSIP Number
        75966V105

ITEM 3.  If this statement is filed pursuant to Rule 13d-1(b), or 13d-2(b),
         check whether the person filing is a:

    (a) ______ Broker or Dealer registered under Section 15 of the Act

    (b) ______ Bank as defined in section 3(a)(6) of the Act

    (c) ______ Insurance Company as defined in section 3(a)(19) of the Act

    (d)   X    Investment Company registered under section 8 of the Investment
        ______ Company Act

    (e) ______ Investment Adviser registered under section 203 of the Investment
               Advisers Act of 1940

    (f) ______ Employee Benefit Plan, Pension Fund which is subject to the
               provisions of the Employee Retirement Income Security Act of 1974
               or Endowment Fund; see section 240.13d-1(b)(1)(ii)(F)

    (g) ______ Parent Holding Company, in accordance with section
               240.13d-1(b)(ii)(G)(Note: See Item 7)

    (h) ______ Group, in accordance with section 240.13d-1(b)(1)(ii)(H)

ITEM 4.  Ownership.

    (a)  Amount Beneficially Owned:
         At June 1, 1999, Renaissance Capital Growth & Income Fund III, Inc.
         owned a $2,084,101 9% Convertible Debenture due December 1, 2003,
         convertible at $0.549 per share; 393,259 shares of the Company's
         common stock; $575,000 in 9% Convertible Promissory Notes due on
         demand, convertible at $0.549 per share; a warrant to purchase 12,500
         shares of the Company's common stock on or before November 17, 2002; a
         warrant to purchase 187,500 shares of the Company's common stock on
         or before October 1, 2003;  a warrant to purchase 125,000 shares of
         the Company's common stock on or before October 2, 2003; and a warrant
         to purchase 364,299 shares of the Company's common stock.  All
         positions are convertible within sixty days.  Thus, the Filer owns
         5,926,094 shares of the Company's common stock on a fully converted
         basis.

    (b)  Percent of Class   39.91%

    (c)  Number of shares as to which such person has:

           (i) sole power to vote or to direct the vote:   5,926,094 shares
          (ii) shared power to vote or to direct the vote:    None
         (iii) sole power to dispose or to direct the disposition of:
               5,926,094 shares
          (iv) shared power to dispose or to direct the disposition of:    None

ITEM 5.  Ownership of Five Percent or Less of a Class.

     If this statement is being filed to report the fact that as of the date
hereof the reporting person has ceased to be the beneficial owner of more than
five percent of the class of securities, check the following:

ITEM 6.  Ownership of More than Five Percent on Behalf of Another Person.

     Not applicable.

ITEM 7.  Identification and Classification of the Subsidiary Which Acquired the
         Security Being Reported on By the Parent Holding Company.

     Not applicable.

ITEM 8.  Identification and Classification of Members of the Group.

     Not applicable.

ITEM 9.  Notice of Dissolution of Group.

     Not applicable.

ITEM 10. Certification.

     By signing below I certify that, to the best of my knowledge and belief,
the securities referred to above were acquired in the ordinary course of
business and were not acquired for the purpose of and do not have the effect
of changing or influencing the control of the issuer of such securities and were
not acquired in connection with or as a participant in any transaction having
such purposes or effect.

                            SIGNATURE
     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date: June 3, 1999                    /S/
                         __________________________________________
                                   Signature
                         Russell Cleveland, President and CEO
                         Renaissance Capital Growth and Income Fund III, Inc.
                         ___________________________________________
                                   Name and Title



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