<DOCUMENT>
<TYPE>EX-32.1
<SEQUENCE>7
<FILENAME>iss9301003exh321.txt
<DESCRIPTION>CERTIFICATIONS REQUIRED UNDER SECTION 906
<TEXT>


Exhibit 32.1

                                  CERTIFICATION





I , Ramesh C. Trivedi, Chief Executive Officer of Integrated Surgical Systems,
Inc. (the "Company"), hereby certify, pursuant to 18 U.S.C. Section 1350, as
adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

     1.   The Quarterly Report on Form 10-QSB of the Company for the quarter
          ended September 30, 2004, which this certification accompanies (the
          "Periodic Report"), fully complies with the requirements of Section
          13(a) of the Securities Exchange Act of 1934; and

     2.   The information contained in the Periodic Report fairly presents, in
          all material respects, the financial condition and results of
          operations of the Company.




 Dated: December 16, 2004                          /s/ Ramesh C. Trivedi
                                                   ----------------------------
                                                       Ramesh C. Trivedi
                                                       Chief Executive Officer

</TEXT>
</DOCUMENT>
