| 1976 | Flowers For Albert | David Murray | | 1 |
| 1977 | Clarity | Michael Gregory Jackson, Oliver Lake, Leo Smith, David Murray | | 1 |
| 1978 | Interboogieology | David Murray | | 2 |
| 1985 | Children | David Murray | | 2 |
| 1985 | Sketches of Tokyo | John Hicks with David Murray | | 1 |
| 1986 | In Our Style | David Murray & Jack DeJohnette | | 2 |
| 1987 | Southern Bells | The Clarinet Summit, Alvin Batiste, John Carter, Jimmy Hamilton, David Murray | | 2 |
| 1987 | The Healers | David Murray and Randy Weston | | 2 |
| 1988 | Lucky Four | David Murray | | 2 |
| 1989 | Deep River | David Murray | | 2 |
| 1989 | Golden Sea | Kahil El'Zabar with David Murray | | 2 |
| 1989 | Ming's Samba | David Murray | | 1 |
| 1990 | 3D Family | David Murray | | 2 |
| 1990 | Ballads | David Murray | | 1 |
| 1990 | Spirituals | David Murray | | 2 |
| 1991 | 44th Street Suite | McCoy Tyner Featuring David Murray / Arthur Blythe / Ron Carter / Aaron Scott | | 1 |
| 1991 | Remembrances | David Murray | | 2 |
| 1991 | Special Quartet | David Murray | | 3 |
| 1991 | Shakill's Warrior | David Murray | 4 | 3 |
| 1992 | The Jazzpar Prize | Pierre Dørge’s New Jungle Orchestra feat. David Murray | | 2 |
| 1992 | MX Dedicated to the Memory of Malcolm X | David Murray | | 1 |
| 1992 | Real Deal | David Murray & Milford Graves | | 2 |
| 1993 | Ballads for Bass Clarinet | David Murray | 4 | 2 |
| 1993 | Blue Monk | Aki Takase & David Murray | | 2 |
| 1993 | Brother To Brother | Dave Burrell & David Murray | | 1 |
| 1993 | Jazzosaurus Rex | David Murray | | 1 |
| 1993 | The Offering | Bobby Battle Quartet with David Murray | | 1 |
| 1994 | Saxmen | David Murray | | 1 |
| 1995 | Picasso | David Murray | | 1 |
| 1995 | Flowers Around Cleveland | David Murray | | 1 |
| 1995 | Jug-A-Lug | David Murray | | 2 |
| 1995 | South of the Border | David Murray Big Band, Lawrence "Butch" Morris | | 1 |
| 1995 | Ugly Beauty | Donald Fox and David Murray | | 1 |
| 1997 | Fo Deuk Revue | David Murray | | 2 |
| 1997 | Flowers for Albert, The Complete Concert | David Murray | | 1 |
| 1997 | Windward Passages | David Murray with Dave Burrell | | 2 |
| 1998 | Creole | David Murray | | 2 |
| 1999 | Speaking in Tongues | David Murray feat. Fontella Bass | | 1 |
| 1999 | Speaking in Tongues | David Murray | | 1 |
| 2000 | One World Family | Kahil El'Zabar & David Murray | | 1 |
| 2004 | David Murray, Gipsy Cimbalom Band, Balogh Kálmán Featuring Kovács Ferenc | David Murray, Kálmán Balogh & The Gipsy Cimbalom Band & Kovács Ferenc | | 1 |
| 2006 | Mental Strain at Dawn - A Modern Portrait of Louis Armstrong | David Murray & Doc Cheatham | | 1 |
| 2008 | Silence | David Murray, Mal Waldron | | 1 |
| 2008 | Circles Live | David Murray, Marcin Oleś & Bartłomiej Oleś | | 1 |
| 2008 | David Murray / James Newton Quintet | David Murray, James Newton | | 1 |
| 2008 | Lovers | David Murray | | 1 |
| 2008 | The Tip | David Murray | | 1 |
| 2011 | David Murray Cuban Ensemle Plays Nat King Cole (En Espanol) | David Murray | | 1 |
| 2011 | Rendezvous Suite | David Murray & Jamaaladeen Tacuma | | 1 |
| 2011 | Antiquated Love | David Murray, Chico Freeman with Özay | | 1 |
| 2013 | Be My Monster Love | David Murray Infinity Quartet | | 1 |
| 2013 | Blue Monk | 高瀬アキ, David Murray | | 1 |
| 2015 | Jazzwerkstatt, New York Box, Vol. 1 | David Murray, John Lindberg, Lester Bowie | | 1 |
| 2016 | Blues for Memo | David Murray feat. Saul Williams | | 4 |
| 2017 | Cherry Sakura | Aki Takase & David Murray | | 1 |
| 2017 | Born for a Storm | David Murray | | 1 |
| 2020 | Kahil El'Zabar's Spirit Groove | Kahil El'Zabar ft. David Murray | | 2 |
| — | Let the Music Take You | David Murray, Johnny Hallyday, Lawrence D. "Butch" Morris & George Brown | | 1 |
