Academy of Motion Picture Arts and Sciences
| Won |
Best Musical Score West Side Story |
1961 |
| Nominated |
Best Musical Score High Society |
1956 |
| Won |
Best Musical Score Seven Brides for Seven Brothers |
1954 |
| Nominated |
Best Musical Score Kiss Me Kate |
1953 |
| Won |
Best Musical Score An American in Paris |
1951 |
