The two-week-long festival celebrates theater from around the world.
Tom Hiddleston and Elizabeth Olsen will also be featured in the Hank Williams-inspired movie.
Tony winner Pam MacKinnon directs the new Sarah Treem drama.
MTC's When We Were Young and Unafraid stars Kazan along with two-time Tony winner Cherry Jones.
See clips from Audra McDonald, Cherry Jones, Tyne Daly, LaTanya Richardson Jackson, and Estelle Parsons' Tony-nominated performances.
The honors were presented at Sardi's on May 22.
The new political drama is written by Anthony Giardina and directed by Doug Hughes.
The newly minted honorees gather for the yearly Tony press junket at the Paramount Hotel.
The honors are presented by the Independent Reviewers of New England.