The 13th Grammy Awards were held on 16 March 1971, and were broadcast live on American television. They recognized accomplishments by musicians from the year 1970.
- Record of the Year
- Roy Halee (producer), Art Garfunkel & Paul Simon (producers and artists) for "Bridge Over Troubled Water"
- Roy Halee (producer), Art Garfunkel & Paul Simon (producers and artists) for "Bridge Over Troubled Water"
- Album of the Year
- Roy Halee (producer), Art Garfunkel & Paul Simon (producers and artists) for Bridge Over Troubled Water performed by Simon & Garfunkel
- Roy Halee (producer), Art Garfunkel & Paul Simon (producers and artists) for Bridge Over Troubled Water performed by Simon & Garfunkel
- Song of the Year
- Paul Simon (songwriter) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
- Paul Simon (songwriter) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
- Best New Artist
- Best Recording for Children
- Joan Cooney & Thomas Z. Shepard (producers) for Sesame Street performed by The Muppets
- Joan Cooney & Thomas Z. Shepard (producers) for Sesame Street performed by The Muppets
- Best Classical Performance, Orchestra
- Pierre Boulez (conductor) & the Cleveland Orchestra for Stravinsky: Le Sacre du Printemps
- Best Classical Vocal Soloist Performance
- Dietrich Fischer-Dieskau for Schubert: Lieder
- Best Opera Recording
- Erik Smith (producer), Colin Davis (conductor), the Royal Opera House Orchestra & Chorus & various artists for Berlioz: Les Troyens
- Best Choral Performance (other than opera)
- Gregg Smith (choir director), the Gregg Smith Singers & the Columbia Chamber Ensemble for Ives: New Music of Charles Ives
- Best Classical Performance - Instrumental Soloist or Soloists (with or without orchestra)
- George Szell (conductor), David Oistrakh, Mstislav Rostropovich & the Cleveland Orchestra for Brahms: Double Concerto (Concerto in A Minor for Violin and Cello)
- Best Chamber Music Performance
- Eugene Istomin, Leonard Rose & Isaac Stern for Beethoven: The Complete Piano Trios
- Album of the Year, Classical
- Erik Smith (producer), Colin Davis (conductor), various artists & the Royal Opera House Orchestra & Chorus for Berlioz: Les Troyens
- Erik Smith (producer), Colin Davis (conductor), various artists & the Royal Opera House Orchestra & Chorus for Berlioz: Les Troyens
- Best Comedy Recording
- Flip Wilson for The Devil Made Me Buy This Dress
- Flip Wilson for The Devil Made Me Buy This Dress
- Best Instrumental Composition
- Alfred Newman (composer) for "Airport Love Theme"
- Best Original Score Written for a Motion Picture or a Television Special
- George Harrison, John Lennon, Paul McCartney & Ringo Starr (composers) for Let It Be performed by The Beatles
- Best Instrumental Arrangement
- Henry Mancini (arranger) for "Theme From Z"
- Best Arrangement Accompanying Vocalist(s)
- Larry Knechtel & Paul Simon (arrangers) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
- Larry Knechtel & Paul Simon (arrangers) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
- Best Country Vocal Performance, Female
- Lynn Anderson for "Rose Garden"
- Best Country Vocal Performance, Male
- Ray Price for "For the Good Times"
- Best Country Vocal Performance by a Duo or Group
- Johnny Cash & June Carter for "If I Were a Carpenter"
- Best Country Instrumental Performance
- Chet Atkins & Jerry Reed for Me and Jerry
- Best Country Song
- Marty Robbins (songwriter) for "My Woman, My Woman, My Wife"
- Marty Robbins (songwriter) for "My Woman, My Woman, My Wife"
- Best Ethnic or Traditional Folk Recording
- T. Bone Walker for Good Feelin'
- T. Bone Walker for Good Feelin'
- Best Gospel Performance
- The Oak Ridge Boys for "Talk About the Good Times"
- Best Soul Gospel Performance
- Edwin Hawkins for "Every Man Wants To Be Free" performed by the Edwin Hawkins Singers
- Best Sacred Performance
- Jake Hess for "Everything Is Beautiful"
- Jake Hess for "Everything Is Beautiful"
- Best Instrumental Jazz Performance, Individual or Group
- Bill Evans for Alone
- Best Large Jazz Ensemble Performance
- Best Musical Show Album
- Thomas Z. Shepard (producer) for Company performed by Dean Jones, Barbara Barrie, George Coe, Teri Rolston, John Cunningham & Beth Howland
- Thomas Z. Shepard (producer) for Company performed by Dean Jones, Barbara Barrie, George Coe, Teri Rolston, John Cunningham & Beth Howland
- Best Album Package - Incl. Album Cover, Graphic Arts, Photography
- Ivan Nagy (photographer) for Indianola Mississippi Seeds performed by B.B. King
- Best Album Notes
- Chris Albertson (notes writer) for The World's Greatest Blues Singer performed by Bessie Smith
- Chris Albertson (notes writer) for The World's Greatest Blues Singer performed by Bessie Smith
- Best Contemporary Song
- Paul Simon (songwriter) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
- Best Contemporary Vocal Performance, Male
- Ray Stevens for "Everything Is Beautiful",
- Best Contemporary Vocal Performance, Female
- Dionne Warwick for I'll Never Fall in Love Again
- Best Contemporary Vocal Performance By a Group
- The Carpenters for "Close to You"
- Best Contemporary Instrumental Performance
- Henry Mancini for Theme From Z and Other Film Music
- Henry Mancini for Theme From Z and Other Film Music
- Best Engineered Recording, Non-Classical
- Roy Halee (engineer) for Bridge Over Troubled Water performed by Simon & Garfunkel,
- Best Classical Engineered Recording
- Arthur Kendy, Fred Plaut & Ray Moore (engineers) for Stravinsky: Le Sacre du Printemps performed by Pierre Boulez
- Arthur Kendy, Fred Plaut & Ray Moore (engineers) for Stravinsky: Le Sacre du Printemps performed by Pierre Boulez
- Best Female R&B Vocal Performance
- Aretha Franklin for "Don't Play That Song"
- Best Male R&B Vocal Performance
- B.B. King for "The Thrill Is Gone"
- Best R&B Performance by a Duo or Group with Vocal
- The Delfonics for "Didn't I (Blow Your Mind This Time)"
- Best R&B Song
- General Johnson & Ronald Dunbar (songwriters) for "Patches" performed by Clarence Carter
- General Johnson & Ronald Dunbar (songwriters) for "Patches" performed by Clarence Carter
- Best Spoken Word or Non-musical Album
- Martin Luther King Jr for Why I Oppose the War in Vietnam
- Martin Luther King Jr for Why I Oppose the War in Vietnam
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