Exhibit 32.1

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

In  connection  with the Annual Report of BRIAZZ,  INC. (the  "Company") on Form
10-K for the fiscal year ended  December  28, 2003 as filed with the  Securities
and Exchange  Commission on the date hereof (the  "Report"),  I, Milton Liu, the
Chief Executive 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.

                  March 29, 2004

                                            /s/ Milton Liu
                                            --------------------------------
                                            Milton Liu
                                            Chief Executive Officer