Tickets will go on sale to the general public July 12.
Betrayal will play a 14-week engagement through Jan. 5, 2014.
Real-life couple Weisz and Craig will portray on-stage married couple Emma and Robert, respectively. Spall will portray Jerry, Robert's best friend.
According to producers, "Emma (Weisz) is married to Robert (Craig), a publisher, but she has long had an affair with Jerry (Spall), a literary agent and Robert's best friend; as, in a brilliant device, time is regained, so the full complexity of their relationships comes to light."
Betrayal will have scenic design by Ian MacNeil, costume design by Ann Roth, lighting design by Brian MacDevitt and sound design by Scott Lehrer. James Murphy will compose original music for the play.
Craig ("Skyfall," "GoldenEye," "Casino Royale," "The Girl with the Dragon Tattoo") last appeared on Broadway in A Steady Rain. Betrayal marks Weisz's Broadway debut. Her films include "Oz the Great and Powerful," "The Bourne Legacy," "The Constant Gardener" and "The Shape of Things." Spall recently appeared in "Prometheus" and "Life of Pi." He received an Olivier nomination for Constellations.