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 Quarterly Report on Form 10-Q of Acceleron Pharma, Inc. (the “Company”) for the period ended September 30, 2013 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), each of the undersigned officers of the Company hereby certifies, pursuant to 18 U.S.C. Section 1350, that to his or her 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 Company.

Date: November 14, 2013	By:	/s/ John L. Knopf
		John L. Knopf PhD
		President and Chief Executive Officer
		(Principal Executive Officer)
Date: November 14, 2013	By:	/s/ Kevin F. McLaughlin
		Kevin F. McLaughlin
		Chief Financial Officer
		(Principal Financial Officer)