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                                                                   EXHIBIT 23.1

Consent of Grant Thornton LLP


               CONSENT OF INDEPENDENT CERTIFIED PUBLIC ACCOUNTANTS

We have issued our report dated August 4, 2000, 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, 2000. 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) and on Form
S-8 (File No. 33-59870-S).



/s/ GRANT THORNTON LLP

Dallas, Texas
October 12, 2000