During his career Nelson was nominated many times for Grammys and Oscars and was successful in both classes. Listed below are the nominations and successes.

1956    LISBOA  ANTIGUA                          Golddisc for a million sales, his only single to reach No.1

1958    CROSS COUNTRY SUITE               GrammyWINNER Best Composition over 5 minutes

1959    LI'L  ABNER                                      Oscar nomination Scoring of a Musical Picture

1960    CAN- CAN                                        Oscar nomination Scoring of a  Musical Picture

1960    THE  UNTOUCHABLES                   Grammy nomination Best Soundtrack album,Motion Picture

1960    NICE  'N  EASY                                Grammy nomination Best Arrangement

1962    ROUTE  66                                         Grammy nomination Best Instrumental Theme, Composer

1962    ROUTE  66                                         Grammy nomination Best Instrumental Arrangement

1963    CALL  ME  IRRESPONSIBLE           Grammy nomination Best Background Arrangement

1964    ROBIN AND THE 7 HOODS            Oscar nomination for Scoring of Music, Adaption or Treatment

1969    PAINT YOUR WAGON                    Oscar nomination

1974    THE  GREAT  GATSBY                     Oscar WINNER Original Song Score or Adaption

1983    WHAT'S  NEW                                   Grammy WINNER Best Instrumental Arrangement                                                                                                                          Accompanying Vocalist

1985    LUSH  LIFE                                        Grammy  WINNER  Best Instrumental Arrangement                                                                                                                          Accompanying Vocalist