Academy of Motion Picture Arts and Sciences
| Nominated |
Best Drama or Comedy Score Spartacus |
1960 |
| Nominated |
Best Drama or Comedy Score The Rainmaker |
1956 |
| Nominated |
Best Drama or Comedy Score The Rose Tattoo |
1955 |
| Nominated |
Best Drama or Comedy Score Viva Zapata! |
1952 |
| Nominated |
Best Drama or Comedy Score A Streetcar Named Desire |
1951 |
| Nominated |
Best Drama or Comedy Score Death of a Salesman |
1951 |
| Nominated |
Best Original Dramatic Score Shanks |
1974 |
| Nominated |
Best Original Score Under the Volcano |
1984 |
| Nominated |
Best Original Score Bite the Bullet |
1975 |
| Nominated |
Best Original Score The Shoes of the Fisherman |
1968 |
| Nominated |
Best Original Score Who's Afraid of Virginia Woolf? |
1966 |
| Nominated |
Best Original Score The Agony and the Ecstasy |
1965 |
| Nominated |
Best Original Score Cleopatra |
1963 |
| Nominated |
Best Score Dragonslayer |
1981 |
| Nominated |
Best Song Unchained |
1955 |
| Won |
Honorary and Other Awards |
1985 |
Hollywood Foreign Press Association
| Won |
Best Original Score The Shoes of the Fisherman |
1968 |
| Nominated |
Best Original Score Spartacus |
1960 |