Tony Kushner’s epic “Angels in America” will have its first New York revival as part of the 2010-11 season at Off Broadway’s Signature Theater.

Michael Greif (“Next to Normal”) — who recently helmed the world preem of Kushner’s latest, “The Intelligent Homosexual’s Guide to Capitalism and Socialism With a Key to the Scriptures,” in Minneapolis — will stage the play, which is made up of two full-length parts, “Millennium Approaches” and “Perestroika.”

The Tony- and Pulitzer-winning work hasn’t been seen in Gotham since its 1993 Rialto run, which was directed by George C. Wolfe and starred Stephen Spinella, Marcia Gay Harden, Joe Mantello, Ron Leibman, Kathleen Chalfant and Jeffrey Wright, among others.

Set in the mid-1980s at the height of the AIDS epidemic, the plot follows characters ranging from an HIV-positive prophet to a Mormon housewife to the closeted lawyer Roy Cohn. Story was adapted into a 2003 HBO miniseries.

Signature production is funded by a $750,000 grant from the Andrew W. Mellon Foundation (part of a total $1.25 million the org has awarded Signature). “Angels” will be one offering of a 2010-11 Signature season devoted to Kushner’s work, with two more shows still to be announced.

Cast and dates for the new incarnation of “Angels” have not yet been confirmed.