He won the Grammy Award for the Best Country & Western Recording 1961 for his follow-up album "More Gunfighter Ballads and Trail Songs", and was awarded the Grammy Award for Best Country Song in 1970, for "My Woman, My Woman, My Wife". Robbins was named Artist of the Decade (1960–1969) by the Academy of Country Music, was elected to the Country Music Hall of Fame in 1982, was rewarded three awards at the 17th Annual Music City News Country Awards in 1983, and was given a Grammy Hall of Fame Award in 1998 for his song "El Paso".