Saya mau tau Penghargaan dari Linda Ronstadt

1975Best Country Vocal Performance, Female, "I Can't Help It (If I'm Still In Love With You)" from Heart Like a Wheel

1976Best Pop Vocal Performance, Female, Hasten Down the Wind

1987Best Country Performance by a Duo or Group with Vocal, Trio (with Dolly Parton and Emmylou Harris)

1988Best Mexican-American Performance, Canciones de Mi Padre

1989Best Pop Vocal Performance by a Duo or Group with Vocal, "Don't Know Much" from Cry Like a Rainstorm, Howl Like the Wind with Aaron Neville

1990Best Pop Vocal Performance by a Duo or Group with Vocal, "All My Life" from Cry Like a Rainstorm, Howl Like the Wind with Aaron Neville

1992Best Tropical Latin Album, Frenesi

1992Best Mexican-American Album, Mas Canciones

1996Best Musical Album for Children, Dedicated to the One I Love

1999Best Country Collaboration with Vocals, "After the Gold Rush" from Trio II with Dolly Parton and Emmylou Harris

2011Lifetime Achievement Award (Latin Grammy)