UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                    FORM 8-K

                Current Report Pursuant to Section 13 or 15(d) of
                       the Securities Exchange Act of 1934



        Date of Report (Date of earliest event reported): April 29, 2004




                                ATS MEDICAL, INC.
                                -----------------
             (Exact name of registrant as specified in its charter)


          Minnesota                     0-18602                 41-1595629
- --------------------------------------------------------------------------------
(State or other jurisdiction    (Commission file number)     (I.R.S. Employer
      of incorporation)                                     Identification No.)



              3905 Annapolis Lane N., Minneapolis, Minnesota 55447
              ----------------------------------------------------
                    (Address of principal executive offices)


       Registrant's telephone number, including area code: (763) 553-7736
                                                           --------------

                                 Not Applicable
                                 --------------
          (Former name or former address, if changed since last report)








ITEM 7. FINANCIAL STATEMENTS AND EXHIBITS

(c)      The following exhibit is being "furnished" in accordance with Item 12
of Form 8-K and shall not be deemed "filed" for purposes of Section 18 of the
Securities Exchange Act of 1934, as amended (the "Exchange Act"), or otherwise
subject to the liabilities of that section, nor shall it be deemed to be
incorporated by reference in any filing under the Securities Act of 1933, as
amended, or the Exchange Act, except as expressly set forth by specific
reference in such filing:

         99.1 Press Release, dated April 29, 2004, of ATS Medical, Inc.

ITEM 12. RESULTS OF OPERATIONS AND FINANCIAL CONDITION FOR A COMPLETED QUARTER

The following information is being "furnished" in accordance with Item 12 of
Form 8-K and shall not be deemed "filed" for purposes of Section 18 of the
Securities Exchange Act of 1934, as amended (the "Exchange Act"), or otherwise
subject to the liabilities of that section, nor shall it be deemed to be
incorporated by reference in any filing under the Securities Act of 1933, as
amended, or the Exchange Act, except as expressly set forth by specific
reference in such filing:

         On April 29, 2004, ATS Medical, Inc. issued a press release to report
         the Company's results of operations and financial condition for the
         completed fiscal quarter ended March 31, 2004. The release is furnished
         as Exhibit 99.1 hereto and is incorporated herein by reference.

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                                    SIGNATURE

         Pursuant to the requirements of the Securities Exchange Act of 1934,
the registrant has duly caused this report to be signed on its behalf by the
undersigned, hereunto duly authorized.


April 29, 2004                                   ATS MEDICAL, INC.



                                                 By: /s/ John R. Judd
                                                     ----------------
                                                     John R. Judd
                                                     Chief Financial Officer

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                                  EXHIBIT INDEX


99.1     Press Release, dated April 29, 2004, of ATS Medical, Inc.