Shaw will reunite with director Deborah Warner for the one-woman work that will play a limited 12-week engagement through June 16. The Testament of Mary will officially open April 22.
It marks the first collaboration between Shaw and Warner to premiere in the U.S. The two have earned acclaim for productions of Medea, Happy Days, Mother Courage, Hedda Galber, The Good Person of Sichuan and The Waste Land.
Released in November 2012, Tóibín's 96-page novel reflects a new account of Christ, one in which his mother questions her son's death, his divinity and the followers who called him the son of God.
Garry Hynes staged a 2011 premiere of the work starring Marie Mullen at the Dublin Theater Festival. That project, billed Testament, gave life to the novel.
Tóibín's works include "The Blackwater Lightship," "The Master," "The South, Homage to Barcelona," "The Heather Blazing," "The Story of the Night" and "Brooklyn."
An on-sale ticket date has not been announced.