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                                                                   EXHIBIT 32.01

                           SECTION 1350 CERTIFICATIONS

In connection with this quarterly report of John W. Henry & Co./Millburn L.P. on
Form 10-Q for the period ended September 30, 2004 as filed with the Securities
and Exchange Commission on the date hereof, I, Robert M. Alderman, certify,
pursuant to 18 U.S.C. Section 1350, as adopted pursuant of the Sarbanes-Oxley
Act of 2002, that:

1. This quarterly report containing the financial statements 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 quarterly report fairly presents, in all
material respects, the financial condition and results of operations of John W.
Henry & Co./Millburn L.P.


Date: November 15, 2004

By /s/ ROBERT M. ALDERMAN
   ----------------------
Robert M. Alderman
Chief Executive Officer, President and Manager
(Principal Executive Officer)

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