Exhibit 23.1


Consent of Grant Thornton LLP


               CONSENT OF INDEPENDENT CERTIFIED PUBLIC ACCOUNTANTS

We have issued our report dated August 16, 2002,  except for Note 12 as to which
the  date  is  September  5,  2002,   accompanying  the  consolidated  financial
statements included in the Annual Report of Integrated Security Systems, Inc. on
Form  10-KSB  for the year  ended  June  30,  2002.  We  hereby  consent  to the
incorporation  by reference  of said report in the  Registration  Statements  of
Integrated Security Systems,  Inc. on Form S-3 (File No. 33-89218),  on Form S-8
(File No. 33-59870-S), and on Form S-8 (File No. 333-76558).


/s/ GRANT THORNTON LLP