The film, which is penned by Gwyneth Hughes, chronicles director Alfred Hitchcock's "obsessive relationship" with actress Tippi Hedren, who starred in his films "The Birds" and "Marnie" in the 1960s.
Julian Jarrold will direct a cast that stars Jones as Hitchcock and Miller as Hedren. An airdate for the film has not yet been set.
Miller appeared on Broadway in After Miss Julie, which she also starred in in London. Jones has been seen in The Play What I Wrote, and Wilton appeared on Broadway in The Philanthropist.