EXHIBIT 32

Certification Pursuant to Rule 13a-14(b)

Under the Securities Exchange Act of 1934 and

Section 1350, Chapter 63 of Title 18, United States Code

Pursuant to Rule 13a-14(b) under the Securities Exchange Act of 1934 and Section 1350, Chapter 63 of Title 18, United States Code, each of the undersigned officers of Weyerhaeuser Company, a Washington corporation (the “Company”), hereby certifies that:

The Company’s Annual Report on Form 10-K dated February 25, 2011 (the “Form 10-K”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 and information contained in the Form 10-K fairly presents, in all material respects, the financial condition and results of operations of the Company.

/S/    DANIEL S. FULTON        

Daniel S. Fulton

President and Chief Executive Officer

Dated: February 25, 2011

/S/    PATRICIA M. BEDIENT        

Patricia M. Bedient

Executive Vice President and Chief Financial Officer

Dated: February 25, 2011

The foregoing certification is being furnished solely pursuant to Rule 13a-14(b) under the Securities Exchange Act of 1934 and Section 1350, Chapter 63 of Title 18, United States Code and is not being filed as part of the Form 10-K or as a separate disclosure document.

WEYERHAEUSER COMPANY >2010 ANNUAL REPORT AND FORM 10-K    117