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- Downbeat International Jazz Critics Poll: Talent Deserving Wider Recognition (1977)
- Downbeat Readers Poll: Jazz Album of the Year, Rosewood (Columbia) (1978)
- Downbeat Readers Poll: Trumpet Player of the Year (1978)
- Grammy Nomination: Best Jazz Instrumental Performance, Soloist: Rosewood (Columbia) (1979)
- Grammy Nomination: Best Jazz Instrumental Performance, Group: Woody Shaw Concert Ensemble, Rosewood (Columbia) (1979)
- Downbeat Readers Poll: Trumpet Player of the Year (1979)
- Downbeat Hall of Fame (1989)
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