Since 1963 the award has been divided into two awards for Best Instrumental Arrangement Accompanying Vocalist(s) & Best Instrumental Arrangement. In 1976 a vocal arrangement award was also added, now called the Grammy Award for Best Vocal Arrangement for Two or More Voices

Years reflect the year in which the Grammy Awards were presented, for works released in the previous year.

1960s

• Grammy Awards of 1962
  • Henry Mancini (arranger & artist) for "Moon River"
• Grammy Awards of 1961
  • Henry Mancini (arranger & artist) for Mr. Lucky
• Grammy Awards of 1960
  • Billy May (arranger) for "Come Dance With Me" performed by Frank Sinatra