- Çmime
- 1971 Drama Desk Award for Outstanding Choreography—Follies
- 1971 Drama Desk Award for Outstanding Director—Follies (with Harold Prince)
- 1972 Tony Award for Best Choreography—Follies
- 1972 Tony Award for Best Direction of a Musical—Follies (with Harold Prince)
- 1974 Tony Award for Best Choreography—Seesaw
- 1976 Drama Desk Award for Outstanding Choreography—A Chorus Line
- 1976 Drama Desk Award for Outstanding Director of a Musical—A Chorus Line
- 1976 Pulitzer Prize for Drama—A Chorus Line
- 1976 Tony Award for Best Choreography—A Chorus Line
- 1976 Tony Award for Best Direction of a Musical—A Chorus Line
- 1979 Drama Desk Award for Outstanding Choreography—Ballroom
- 1979 Tony Award for Best Choreography—Ballroom
- 1982 Tony Award for Best Choreography—Dreamgirls
- 1984 Drama Desk Award Special Award—A Chorus Line 3,389th performance
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- Nominime
- 1967 Tony Award for Best Choreography—A Joyful Noise
- 1968 Tony Award for Best Choreography—Henry, Sweet Henry
- 1969 Tony Award for Best Choreography—Promises, Promises
- 1970 Tony Award for Best Choreography—Coco
- 1971 Tony Award for Best Choreography—Company
- 1974 Tony Award for Best Book of a Musical—Seesaw
- 1974 Tony Award for Best Direction of a Musical—Seesaw
- 1979 Drama Desk Award for Outstanding Director of a Musical—Ballroom
- 1979 Tony Award for Best Direction of a Musical—Ballroom
- 1979 Tony Award for Best Musical—Ballroom
- 1982 Drama Desk Award for Outstanding Director of a Musical—Dreamgirls
- 1982 Tony Award for Best Direction of a Musical—Dreamgirls
- 1983 Drama Desk Award for Outstanding Director of a Play—Third Street
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