EXHIBIT 32.1

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

     Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 and in connection
with  the  Quarterly Report on Form 10-Q of Concurrent Computer Corporation (the
"Corporation")  for  the  quarter  ended  March  31,  2005,  as  filed  with the
Securities  and  Exchange  Commission  on  the  date  hereof (the "Report"), the
undersigned,  the  President  and  Chief  Executive  Officer  of the Corporation
certifies 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 operation of
          the Corporation.


May 5, 2005



                                            /s/ T. Gary Trimm
                                           ------------------------
                                           T. Gary Trimm
                                           President and Chief Executive Officer
                                           (Principal Executive Officer)