Encompass Health (EHC) 10-K 2004 FY Annual report

EXHIBIT 32.1

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO SECTION 906

OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of HealthSouth Corporation on Form 10-K for the fiscal year ended December 31, 2004 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Jay Grinney, President and Chief Executive Officer of HealthSouth Corporation, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge and belief:

(1) The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities and Exchange Act of 1934; and

(2) The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the company.

A signed original of this written statement required by Section 906 has been provided to HealthSouth Corporation and will be retained by HealthSouth Corporation and furnished to the Securities and Exchange Commission or its staff upon request.

Date: December 1, 2005	/s/    Jay Grinney
	Jay Grinney President and Chief Executive Officer