The Grammy Award for Best Album Cover, Graphic Arts was awarded from 1966 to 1968, alongside the award for Best Album Cover, Photography. For these years this award replaced the combined award for Best Album Cover.

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

1960s

• Grammy Awards of 1968
  • Jann Haworth & Peter Blake (art directors) for Sgt. Pepper's Lonely Hearts Club Band performed by The Beatles
• Grammy Awards of 1967
  • Klaus Voormann (graphic artist) for Revolver performed by The Beatles
• Grammy Awards of 1966
  • George Estes (art director) & James Alexander (graphic artist) for Bartók: Concerto No. 2 for Violin/Stravinsky: Concerto for Violin performed by Joseph Silverstein & conducted by Erich Leinsdorf