7 vitórias & 11 indicações
- 1946 Vencedor Oscar
- Best Music, Original Song
For the song "It Might as Well Be Spring"Compartilhado com: Oscar Hammerstein II
- 1962 Vencedor Primetime Emmy
- Outstanding Achievement in Original Music Composed for Television
- 2020 Indicado Grammy
- Best Musical Theater Album
For "Oklahoma!"Compartilhado com: Damon Daunno · Rebecca Naomi Jones · Ali Stroker · Mary Testa · Patrick Vaill · Daniel Kluger · Dean Sharenow · Oscar Hammerstein II - 1998 Vencedor Grammy
- Trustees Award
- 1977 Indicado Grammy
- Best Cast Show Album
For "Rex"Compartilhado com: Thomas Z. Shepard · Sheldon Harnick - 1972 Indicado Grammy
- Best Score from an Original Cast Show Album
For "Two By Two"Compartilhado com: Thomas Z. Shepard · Fritz Reiner - 1966 Indicado Grammy
- Best Score from an Original Cast Show Album
For "Do I Hear A Waltz?"Compartilhado com: Stephen Sondheim
- 2007 Indicado OFTA Film Award
- Best Music, Adapted Song
For the song "Bewitched, Bothered and Bewildered". - 2000 Indicado OFTA Film Award
- Best Music, Adapted Song
For the song "My Funny Valentine".Compartilhado com: Lorenz Hart · Matt Damon
- 1978 Vencedor Kennedy Center Honors
- Kennedy Center Honors
- 2002 Vencedor Melhores do Ano
- Best Opening Theme (Melhor Tema de Abertura)
For "Blue Moon"Compartilhado com: The Marcels · Lorenz Hart
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