“The Laramie Project” closes on Sept. 2, to be replaced at the Union Square Theater with August Wilson’s “Jitney,” which plays its first performance at the Off Broadway venue on Sept. 19.

The Wilson drama, set in a jitney cab station, enjoyed an extended run at the not-for-profit Second Stage Theatre, which produced it in conjunction with Center Theatre Group/Mark Taper Forum and Sageworks/Benjamin Mordecai.

The Pulitzer Prize-winning writer (“Fences,” “The Piano Lesson”) wrote the drama in 1978 but did not see a production of the play, his first work, until nearly 20 years later. Last spring, the New York Drama Critics Circle gave “Jitney” its citation for best play. It opened at Second Stage on April 8 after productions at Baltimore’s Center Stage and L.A.’s Mark Taper Forum, among other regional theaters.

“The Laramie Project,” by Moises Kaufman and the Tectonic Theater Project, will close after 126 performances and 23 previews. Producer Roy Gabay recently announced that the play about the murder of Matthew Shepard would be turned into an HBO film, with Kaufman directing.