Enbridge Energy Management L L C (EEQ) 10-Q Quarterly report

QuickLinks -- Click here to rapidly navigate through this document

Exhibit 32.1

CERTIFICATE OF PRINCIPAL EXECUTIVE OFFICER
Pursuant to Section 906(a) of the Sarbanes-Oxley Act of 2002
Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18 United States Code

        The undersigned, being the Principal Executive Officer of Enbridge Energy Management, L.L.C. (the "Company"), hereby certifies that the Company's Quarterly Report on Form 10-Q for the quarterly period ended June 30, 2004, filed with the United States Securities and Exchange Commission pursuant to Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)), fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, and that information contained in such Quarterly Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

        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 the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.

        Date: August 6, 2004

/s/  DAN C. TUTCHER      Dan C. Tutcher
President and Principal Executive Officer

QuickLinks

Exhibit 32.1

CERTIFICATE OF PRINCIPAL EXECUTIVE OFFICER Pursuant to Section 906(a) of the Sarbanes-Oxley Act of 2002 Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18 United States Code