The revival production, which also will feature Ewan McGregor in the role originated in New York by Jeremy Irons, will mark Gyllenhaal's Broadway debut, although she has acted on stage before, including productions of "Three Sisters" and "Uncle Vanya" at downtown New York's Classic Stage Company as well as the Tony Kushner play "Homebody/Kabul" at the Mark Taper Forum and the Brooklyn Academy of Music.
"The Real Thing," which will run at the American Airlines Theatre, is a comedy about infidelity and acting that features meta-structural devices. Gyllenhaal will play the role of Annie, who is having an extramarital affair with a playwright (McGregor).
The actors appeared together in the 2010 movie "Nanny McPhee Returns."
Previews of "The Real Thing" are scheduled to begin Oct. 2. The production will be directed by Sam Gold.
Stoppard's play was first performed in London in 1982 with Felicity Kendal in the role of Annie. The show reached Broadway in 1984 with a cast that included Irons, Close, Christine Baranski, Peter Gallagher and a young Cynthia Nixon.
Gyllenhaal had been scheduled to appear in an off-Broadway production this spring of "The Village Bike" at MCC Theatre. The actress is no longer listed by the company for the play, and a spokesman didn't immediately respond to a request for comment.
[Updated]: A spokesman for MCC said that Gyllenhaal has withdrawn from "The Village Bike" due to scheduling conflicts. The production, to be directed by Gold, will be announcing a replacement shortly and will begin performances as scheduled on May 21.