The awards were announced Tuesday night at New World Stages in New York.
"A Trip to Bountiful," Horton Foote's touching story of a woman's journey to her old home, received four awards, including prizes for revival; actress, Lois Smith; featured actress, Hallie Foote, and director Harris Yulin. It was produced by the Signature Theatre Company.
"The Seven," created by Will Power, received two other prizes, including choreography, Bill T. Jones, and sound design, Darron L. West.
The top award for best actor was shared by David Wilmot of "The Lieutenant of Inishmore" and Christopher Denham of "Red Light Winter." Charles Durning received the featured-actor prize for his performance in Wendy Wasserstein's "Third."
Wasserstein, who died in January, received a posthumous lifetime achievement award.
"The Lieutenant of Inishmore," a hit for the Atlantic Theater Company, has transferred to Broadway where it opens tomorrow at the Lyceum Theatre.