EXHIBIT 32.1



                                  Cardima, Inc.
    CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly  Report of Cardima,  Inc. (the Company) on Form
10-Q for the  period  ended  June  30,  2005 as filed  with the  Securities  and
Exchange  Commission on the date hereof (the Report),  I, Gabriel B. Vegh, Chief
Executive Officer and Chief Financial Officer of the Company,  certify, pursuant
to 18 U.S.C.  ss.1350,  as adopted pursuant to Section 906 of the Sarbanes-Oxley
Act of 2002, that:

(1) The Report fully complies with the requirements of section 13(a) or 15(d) of
the Securities Exchange Act of 1934; and

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

A signed  original of this  written  statement  required by Section 906 has been
provided to Cardima, Inc. and will be retained by Cardima, Inc. and furnished to
the Securities and Exchange Commission or its staff upon request.


                                              CARDIMA, INC.

Date: October 12, 2005                        By:/s/ Gabriel B. Vegh
                                              ------------------------
                                              Gabriel B. Vegh
                                              Chief Executive Officer,
                                              Chief Financial Officer