Epizyme (EPZM) S-8 Registration of securities for employees

Exhibit 23.2

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in the Registration Statement (FormS-8) pertaining to the 2013 Stock Incentive Plan of Epizyme, Inc. of our reports dated February 26, 2019, with respect to the consolidated financial statements of Epizyme, Inc. and the effectiveness of internal control over financial reporting of Epizyme, Inc., included in its Annual Report (Form10-K) for the year ended December 31, 2018, filed with the Securities and Exchange Commission.

/s/ Ernst & Young LLP

Boston, Massachusetts

February 26, 2019