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) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
- Album of the Year
- Roy Halee (producer) 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
Children's
- Best Recording for Children - Single or Album, Musical or Spoken
- Joan Cooney & Thomas Z. Shepard (producers) for Sesame Street performed by The Muppets
Classical
- Best Classical Album
- Royal Opera House Orchestra - Covent Garden for Berlioz: Les Troyens conducted by Colin Davis
- Best Classical Orchestral Performance
- Cleveland Orchestra for Stravinsky: Le Sacre Du Printemps conducted by Pierre Boulez
- Best Opera Recording
- Royal Opera House Orchestra - Covent Garden for Berlioz: Les Troyens conducted by Colin Davis
- Best Choral Performance, Classical
- Gregg Smith Singers & the Columbia Chamber Ensemble for Ives: New Music Of Charles Ives conducted by Gregg Smith
- Best Performance, Instrumental Soloist(s) (with or without orchestra)
- Mstislav Rostropovich for Brahms: Double Concerto (Concerto In A Minor For Violin And Cello) performed by David Oistrakh & Mstislav Rostropovich,
- Best Chamber Music Performance
- Eugene Istomin, Isaac Stern & Leonard Rose for Beethoven: The Complete Piano Trios
- Best Classical Vocal Performance
- Dietrich Fischer-Dieskau for Schubert: Lieder
Comedy
- Best Comedy Performance Single or Album, Spoken or Musical
- Flip Wilson for The Devil Made Me Buy This Dress
Composing and arranging
- Best Instrumental Composition (other than Jazz)
- Alfred Newman for Airport Love Theme
- Best Instrumental Composition Written Specifically for a Motion Picture or for Television
- The Beatles for Let It Be
- Best Instrumental Arrangement
- Henry Mancini for "Theme From Z"
- Best Instrumental Arrangement Accompanying Vocalist(s)/Best Background Arrangement
- Larry Knechtel & Paul Simon (arrangers) for "Bridge Over Troubled Water" performed by Simon & Garfunkel
Country
- Best Female Country Vocal Performance
- Lynn Anderson for "Rose Garden"
- Best Male Country Vocal Performance
- Ray Price for "For The Good Times"
- Best Country Performance by a Duo or Group with Vocal
- 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 for "My Woman, My Woman, My Wife"
Folk
- Best Ethnic or Traditional Folk Recording
- T. Bone Walker for Good Feelin'
Gospel
- 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"
Jazz
- Best Instrumental Jazz Performance, Individual or Group
- Bill Evans for Alone
- Best Large Jazz Ensemble Performance
Musical Show
- Best Musical Show Album
- Thomas Z. Shepard (producer) for Company performed by Dean Jones, Barbara Barrie, George Coe, Teri Rolston, John Cunningham & Beth Howland
Packaging and Notes
- Best Album Package - Incl. Album Cover, Graphic Arts, Photography
- Best Album Notes
- Chris Albertson (notes writer) for The World's Greatest Blues Singer performed by Bessie Smith
Pop
- 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
Production and engineering
- 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
R&B
- 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
Spoken
- Best Spoken Word or Non-musical Album
- Martin Luther King Jr. for Why I Oppose The War In Vietnam
Other Grammy Award Years
1959 | 1960 | 1961 | 1962 | 1963 | 1964 | 1965 | 1966 | 1967 | 1968 | 1969 | 1970 | 1971 | 1972 | 1973 | 1974 | 1975 | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003