This will mark Thompson's Philharmonic and New York stage debuts.
Bryn Terfel is to star as Sweeney Todd in the production, which will be conducted by Alan Gilbert and directed by Lonny Price.
Performances are to take place March 5-8.
Thompson's film credits include "Nanny McPhee," "Sense and Sensibility," "Much Ado About Nothing" and "Love Actually."
Notable deaths of 2014 [PHOTOS]
Bette Midler covers 'Waterfalls' by TLC