Herb Alpert Awards

1979 
Grammy Award for Best Pop Instrumental Performance for "Rise" 

1969 
Edison Award Christmas Album 

1966 
Grammy Award for Best Instrumental Arrangement for "What Now My Love" performed by Herb Alpert & the Tijuana Brass 

1965
Grammy Award for Best Instrumental Performance for "What Now My Love" featuring Miles Davis 
Grammy Award for Best Instrumental Arrangement for "A Taste of Honey" performed by Herb Alpert & the Tijuana Brass
Grammy Award for Record Of The Year Herb Alpert and the Tijuana Brass, produced by Herb Alpert & Jerry Moss "A Taste of Honey" 

1964 
Grammy Award for Best Instrumental Performance for "A Taste Of Honey"