EXHIBIT 32.1

                            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 Haemonetics Corporation (the
"Company") on Form 10-Q for the period ending October 2, 2004 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, Brad
Nutter, President and Chief Executive Officer of the Company, certify, pursuant
to Section 1350 of Chapter 63 of Title 18, United States Code, that this Report
fully complies with the requirements of Section 13(a) or 15(d) of the Securities
Exchange Act of 1934 and that the information contained in this Report fairly
presents, in all material respects, the financial condition and results of
operations of the Company.

Date: November 10, 2004

                                                   s/ Brad Nutter
                                         -------------------------------------
                                                      Brad Nutter,
                                         President and Chief Executive Officer

A signed original of this written statement required by Section 906, or other
document authenticating, acknowledging, or otherwise adopting the signature that
appears in typed form within the electronic version of this written statement
required by Section 906, has been provided to Haemonetics and will be retained
by Haemonetics and furnished to the Securities and Exchange Commission or its
staff upon request.