La 21ª edizione dei Grammy Award si è tenuta il 15 febbraio 1979 presso lo Shrine Auditorium di Los Angeles, ed è stata condotta da John Denver.[1]
- Just the Way You Are, scritta e cantata da Billy Joel
- Stayin' Alive, scritta da Barry Gibb, Robin Gibb, Maurice Gibb, cantata dai Bee Gees
- Three Times a Lady, scritta da Lionel Richie, cantata dai Commodores
- You Don't Bring Me Flowers, scritta da Neil Diamond, Alan Bergman e Marilyn Bergman, cantata da Neil Diamond e Barbra Streisand
- You Needed Me, scritta da Randy Goodrum, cantata da Anne Murray
- Rachmaninoff: Piano Concerto No. 3 in D Minor, Op. 30 - Vladimir Horowitz, la New York Philharmonic e Eugene Ormandy (direttore)
- Brahms: Violin Concerto in D Major, Op. 77 - Itzhak Perlman, la Chicago Symphony Orchestra e Carlo Maria Giulini (direttore)
- Chopin: Piano Concerto No. 2 in F Minor, Op. 21 - Emanuel Ax, la Philadelphia Orchestra e Eugene Ormandy (direttore)
- Dvořák: Cello Concerto in B Minor, Op. 104, BB. 191, Saint-Saëns: Cello Concerto No. 1 in A Minor, Op. 33 - Mstislav Rostropovič, la London Philharmonic Orchestra e Carlo Maria Giulini (direttore)
- Mozart: Piano Concerto No. 21 in C Major, K. 467, Piano Concerto No. 9 in E Flat Major, K. 271 - Murray Perahia (solista e direttore) e la English Chamber Orchestra
- Vaughan Williams: Tuba Concerto in F Minor - Emanuel Ax, la Philadelphia Orchestra e Eugene Ormandy (direttore)
- The Horowitz Concerts 1977/1978 - Vladimir Horowitz
- Bach: Italian Concerto; Choral Prelude;Prelude S922; Chromatic Fantasia and Fugue; Fantasy and Fugue - Alfred Brendel
- Beethoven: The Late Piano Sonatas - Maurizio Pollini
- Beethoven: Variations on a Waltz by Diabelli - Charles Rosen
- Debussy: Preludes for Piano, Books I and II - Paul Jacobs
- Liszt: 12 Transcendental Etudes and 3 Etudes de Concert - Claudio Arrau
- Rudolf Serkin of Television - Rudolf Serkin
- Refreshing - The Happy Goodman Family
- Elvis' Favorite Gospel Songs - J.D. Summer & the Stamps Quartet
- His Amazing Love - Blackwood Brothers
- Sunshine and Roses - Cathedral Quartet
- The Old Rugged Cross - George Beverly Shea
- What a Friend - Larry Hart
- Come On, Ring Those Bells - Evie
- Imperials Live - The Imperials
- Destined To Be Yours - McGuire
- The Lady Is A Child - Reba
- Live and Direct - Mighty Clouds of Joy
- Amazing Grace - Gladys McFadden e le Loving Sisters
- I Don't Feel Noways Tired - James Cleveland & the Southern California Community Choir, Doretha Wade (direttrice)
- Special Appearance - Rev. Isaac Douglas feat. the San Francisco Community Singers
- Tomorrow - James Cleveland & the Charles Fold Singers, Charles Fold (direttore)
- Live in London - Andraé Crouch & the Disciples
- Because He's Jesus - Highland Park Community Choir, Inc.
- Danniebelle Live In Sweden with Choralerna - Danniebelle e i Choralerna
- Love Alive II - Walter Hawkins
- Reach Out and Touch - Shirley Caesar
- You Light Up My Life - Loleatta Holloway
- The Lester Young Story, Vol. 3 (Lester Young) - Michael Brooks (produttore)
- A Bing Crosby Collection, Vols. I & II (Bing Crosby) - Michael Brooks (produttore)
- The First Recorded Sounds 1888 to 1929 (AA.VV) - George Garabedian (produttore)
- The Greatest Group of Them All (The Ravens) - Bob Porter (produttore)
- La Divina (Maria Callas) - Peter Andry e Walter Legge (produttori)
- Charlie Parker: The Complete Savoy Sessions (Charlie Parker) - Bob Porter e James Patrick
- Giants of Jazz: Billie Holiday (Billie Holiday) - Melvin Maddocks
- Giants of Jazz: Duke Ellington (Duke Ellington) - Dan Morgenstern e Stanley Dance
- The Magical Music of Walt Disney (Artisti vari) - Dick Schory
- Hoagy Carmichael: A Legendary Performer and Composer (Hoagy Carmichael) - Richard M. Sudhalter
- Varese: Ameriques/Arcana/Ionisation (Boulez Conducts Varese) - Arthur Kendy, Edward T. Graham, Ray Moore (ingegneri del suono), Pierre Boulez (direttore) e la New York Philharmonic
- Last Dance, scritta da Paul Jabara, eseguita da Donna Summer
- Use Ta Be My Girl, scritta da Kenneth Gamble e Leon Huff, eseguita da The O'Jays
- Fantasy, scritta da Maurice White, Eddie del Barrio e Verdine White, eseguita da Earth, Wind & Fire
- Boogie Oogie Oogie, scritta da Perry Kibble e Janice Marie Johnson, eseguita da A Taste of Honey
- Dance, Dance, Dance (Yowsah, Yowsah, Yowsah), scritta da Bernard Edwards, Kenny Lehman e Nile Rodgers, eseguita da Chic