BlackRock Global Horizons I 10-K 2005 FY Annual report

EXHIBIT 32.01

Section 1350 Certification

In connection with this annual report of Global Horizons I L.P. (the “Company”) on Form 10-K for the fiscal year ended December 31, 2005 as filed with the Securities and Exchange Commission on the date hereof (this “Report”), I, Robert M. Alderman, Chief Executive Officer, President and Manager of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant of the Sarbanes-Oxley Act of 2002, that:

1. This 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 this Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: March 31, 2006

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