The new version of Tony Kushner's Pulitzer Prize- and Tony Award-winning work is to run during the theater's 20th anniversary season in 2010-2011.
The production will be directed by Michael Greif with "Part One: Millennium Approaches" and "Part Two: Perestroika" presented in repertory.
Signature's Tony Kushner season will include two more works to be announced, the theater said.
"I'm very excited about my Signature season and, of course, I'm very honored to have been chosen," Kushner said in a statement. "I've spent some of my best nights watching the work Jim Houghton and Signature Theatre Company has produced. It seemed to Jim and me that this is a good moment to bring 'Angels' back to New York, and I'm delighted that Michael Greif has agreed to direct it."
Kushner called Greif "a serious, generous, incredibly smart and superbly talented artist; I love his passionate commitment to actors, to plays, to the theater."