Frontier Funds (FRFD) 10-Q 2006 Q2 Quarterly report

Exhibit 32.1

CERTIFICATION PURSUANT TO

18 U.S.C.§1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of The Frontier Fund on Form 10-Q for the period ended June 30, 2006 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Richard E. Bornhoft, President and Chief Executive Officer of Equinox Fund Management, LLC, the managing owner of The Frontier Fund, certify, pursuant to 18 U.S.C.§1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to my knowledge:

(1) The Report 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 the Report fairly presents, in all material respects, the financial condition and results of operations of The Frontier Fund.

/s/ Richard E. Bornhoft

Richard E. Bornhoft

President and Chief Executive Officer of Equinox Fund Management, LLC, the Managing Owner of The Frontier Fund

August 10, 2006

A signed original of this written statement required by Section 906, or any 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 Frontier Fund and will be retained by The Frontier Fund and furnished to the Securities and Exchange Commission or its staff upon request.