EXHIBIT 32.1

                              CAMBREX CORPORATION

    CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
                            (18 U.S.C. SECTION 1350)

Pursuant to the requirements of Section 906 of the Sarbanes-Oxley Act of 2002
(18 U.S.C. Sections 1350 (a) and (b)), the undersigned hereby certifies as
follows:

          1.  James A. Mack is the President, Chairman of the Board and Chief
     Executive Officer of Cambrex Corporation.

          2.  The Company's Form 10-K for the annual period ended December 31,
     2003, accompanying this Certification, in the form filed with the
     Securities and Exchange Commission (the "Report) fully complies with the
     requirements of Section 13(a) or 15(d) of the Securities Exchange Act of
     1934 (the "Exchange Act"), and

          3.  The information in the Report fairly presents, in all material
     respects, the financial condition and results of operations of the Company.

                                                   /s/ JAMES A. MACK
                                          --------------------------------------
                                                 James A. Mack, President
                                                Chairman of the Board and
                                                 Chief Executive Officer

Dated: March 15, 2004