Academy of Motion Picture Arts and Sciences
| Nominated |
Best Musical Score Flower Drum Song |
1961 |
| Won |
Best Musical Score Porgy and Bess |
1959 |
| Nominated |
Best Musical Score South Pacific |
1958 |
| Won |
Best Musical Score The King and I |
1956 |
| Nominated |
Best Original Score How the West Was Won |
1963 |
| Won |
Best Score Camelot |
1967 |
