| Year | Movie | Award | Category | |||
| 1971 | Tchaikovsky | Academy of Motion Picture Arts and Scie | Best Adaptation and Original Song Score | |||
| 1964 | Circus World | Hollywood Foreign Press Association | Best Original Song | |||
| 1964 | The Fall of the Roman Empire | Academy of Motion Picture Arts and Scie | Best Original Score | |||
| 1964 | The Fall of the Roman Empire | Hollywood Foreign Press Association | Best Original Score | |||
| 1963 | 55 Days at Peking | Academy of Motion Picture Arts and Scie | Best Original Score | |||
| 1963 | 55 Days at Peking | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1961 | The Guns of Navarone | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1961 | Town Without Pity | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1961 | The Guns of Navarone | Hollywood Foreign Press Association | Best Original Score | |||
| 1961 | Town Without Pity | Hollywood Foreign Press Association | Best Original Song | |||
| 1960 | The Alamo | Hollywood Foreign Press Association | Best Original Score | |||
| 1960 | The Alamo | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1960 | The Alamo | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1959 | The Young Land | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1958 | The Old Man and the Sea | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1957 | Wild Is the Wind | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1956 | Friendly Persuasion | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1956 | Giant | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1954 | The High and the Mighty | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1954 | The High and the Mighty | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1952 | High Noon | Hollywood Foreign Press Association | Best Original Score | |||
| 1952 | High Noon | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1952 | High Noon | Academy of Motion Picture Arts and Scie | Best Song | |||
| 1951 | The Well | Hollywood Foreign Press Association | Best Original Score | |||
| 1949 | Champion | Academy of Motion Picture Arts and Scie | Best Drama or Comedy Score | |||
| 1944 | The Bridge of San Luis Rey | Academy of Motion Picture Arts and Scie | Best Score - Drama or Comedy | |||
| 1943 | The Moon and Sixpence | Academy of Motion Picture Arts and Scie | Best Score - Drama or Comedy | |||
| 1942 | The Corsican Brothers | Academy of Motion Picture Arts and Scie | Best Score - Drama or Comedy | |||
| 1939 | Mr. Smith Goes to Washington | Academy of Motion Picture Arts and Scie | Best Score | |||
| 1937 | Lost Horizon | Academy of Motion Picture Arts and Scie | Best Score |