EXHIBIT 32

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

In connection with Third Wave Technologies, Inc. (the "Company) Form 10-Q for
the period ended March 31, 2007 as filed with the Securities and Exchange
Commission on the date hereof (the "Report"), Kevin T. Conroy, Chief Executive
Officer of the Company, and Maneesh K. Arora, Chief Financial Officer of the
Company, certify, pursuant to Section 906 of the Sarbanes Oxley Act of 2002, 18
U.S.C Section 1350, that on the date of this certification:

     (1) The Quarterly Report on Form 10-Q (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 this Report fairly presents, in all
material respects, the financial condition and result of operations of the
Company.


                                        /s/ Kevin T. Conroy
                                        ----------------------------------------
                                        Kevin T. Conroy
                                        Chief Executive Officer
                                        May 7, 2007


                                        /s/ Maneesh K. Arora
                                        ----------------------------------------
                                        Maneesh K. Arora
                                        Chief Financial Officer
                                        May 7, 2007


                                       23