"Utopia," Tom Stoppard's epic look at 19th century Russian intellectuals, was the night's biggest winner, collecting seven awards. "Spring Awakening," a rock musical about the sexual anxiety of 19th century German teens, followed with four.
Besides the top drama prize, "The Coast of Utopia" took awards for director-play, Jack O'Brien; featured actress-play, Martha Plimpton; music-play, Mark Bennett; sets-play, Bob Crowley and Scott Pask; costumes, Catherine Zuber, and lighting, Kenneth Posner, Brian MacDevitt and Natasha Katz.
"Spring Awakening" also took home awards for director-musical, Michael Mayer; music, Duncan Sheik, and lyrics, Steven Sater. Rupert Holmes and Peter Stone won the book-musical prize, for their work on "Curtains," a backstage whodunit.
Frank Langella received the top actor prize for his portrayal of Richard M. Nixon in Peter Morgan's docudrama "Frost/Nixon." Eve Best was named best actress for her portrait of the gawky Josie Hogan in the Old Vic revival of Eugene O'Neill's "A Moon for the Misbegotten."
Lead musical-performance prizes went to Raul Esparza as an indecisive bachelor in the revival of "Company," and to both Donna Murphy of "LoveMusik" and Audra McDonald of "110 in the Shade" who tied in the actress-musical category.
"Company," the 1970 Stephen Sondheim-George Furth musical, was also named best musical revival, and its Mary Mitchell Campbell shared the orchestrations award with Jonathan Tunick of "LoveMusik."
"Journey's End," R.C. Sherriff's World War I drama, took the revival-play award as well as prizes for featured actor-play (Boyd Gaines) and for sound design (Gregory Clarke).
Vanessa Redgrave won the solo performance prize for playing Joan Didion in the author's stage adaptation of her best-selling memoir, "The Year of Magical Thinking."
Featured musical-performance awards were given to Debra Monk as a hard-boiled producer in "Curtains" and to Gavin Lee for his portrayal of Bert the chimney sweep in "Mary Poppins." The Disney-Cameron Mackintosh musical also picked up the prize for sets-musical (Bob Crowley).
The choreography prize went to Andy Blankenbuehler who created the dances for the off-Broadway musical "In the Heights."
"Edward Scissorhands" took the award for unique theatrical experience.
Special, non-competitive prizes for ensemble acting were given to the casts of both "In the Heights" and "Lebensraum."
The awards show was held in the concert hall at F.H. LaGuardia High School of Music and Art and the Performing Arts.
The Drama Desk, which was founded in 1949, honors both Broadway and off-Broadway productions.