Mia Wasikowska, John Cusack, Robert Pattinson, Olivia Williams, Sarah Gadon, and Evan Bird also star.
Moore, who won Best Actress at Cannes, plays a former child star haunted by the ghost of her mother.
The film has been released in France and Canada. Focus is launching “Maps to the Stars” in the U.S. on Feb. 27 on the weekend after the Oscars.
Moore is a contender for the Best Actress trophy for “Still Alice.”