No theatre has been determined at this time.
The producers will be Bob Boyett and Bill Haber, who were also behind the transfers of Jumpers, Democracy and The Pillowman. The Broadway stop will be part of a tour that will take the show to Australia and two cities in the United Kingdom, Variety reported earlier.
Nicholas Hytner directed the piece in London. Boyett told Variety he hopes to bring over the 14-member British cast.
Hytner and Bennett have also insisted that the film version of The History Boys will not go ahead unless every single original cast member is included, from Richard Griffiths to each of the boys.
If Hytner directs, it will be his first film since taking over the National; 1994's "The Madness of King George," as the play was titled on screen, and 1996's "The Crucible" with Daniel Day-Lewis remain his highest-profile efforts.
Bennett's plays include Talking Heads and The Lady in the Van.