The Hunt will tell the story of a group known as the Hunters living in New York City in 1977.
Mulvany, whose credits also include Lambs of God, Fighting Season, The Merger, Secret City, and The Little Death, will play Sister Harriet, one of the members of The Hunt.
Deadline is reporting that Kate Mulvany, and Jeannie Berlin (The Night Of) have also been cast in key recurring roles.
Jordan Peele’s Monkeypaw Productions and Sonar Entertainment are producing The Hunt, while Peele and Win Rosenfeld (Dark Net) are executive producing for Monkeypaw.