| 2001 | Adjust | Gerald Cleaver, Veil of Names | | 1 |
| 2006 | Yellow (A Little Orange) | Nicolas Masson, Russ Johnson, Eivind Opsvik & Gerald Cleaver | | 1 |
| 2007 | Gerald Cleaver's Detroit | Gerald Cleaver | | 1 |
| 2010 | Be It As I See It | Gerald Cleaver | | 1 |
| 2010 | Searching For Adam | Rodrigo Amado / Taylor Ho Bynum / John Hébert / Gerald Cleaver | | 1 |
| 2010 | Tivoli Trio | Tivoli Trio - Frank Carlberg, John Hebert, Gerald Cleaver | | 1 |
| 2011 | We Don't Live Here Anymore | Giovanni Guidi, Gianluca Petrella, Michael Blake, Thomas Morgan & Gerald Cleaver | | 1 |
| 2012 | Kalabalik | Anders Nilsson / Gerald Cleaver / Raoul Björkenheim | | 1 |
| 2012 | The Foreign Legion | Ivo Perelman, Matt Shipp, Gerald Cleaver | | 1 |
| 2013 | Serendipity | Perelman | Shipp | Parker | Cleaver | | 1 |
| 2013 | Enigma | Perelman, Shipp, Dickey & Cleaver | | 1 |
| 2015 | A Life in a Day | David Ades, Tony Malaby, Mark Helias, Gerald Cleaver | | 1 |
| 2016 | Hidden Voices | Aruán Ortiz Trio feat.Eric Revis & Gerald Cleaver | | 2 |
| 2016 | Ida Lupino | Giovanni Guidi, Gianluca Petrella, Louis Sclavis, Gerald Cleaver | 5 | 2 |
| 2016 | Breaking Point | Ivo Perelman, Mat Maneri, Joe Morris, Gerald Cleaver | | 1 |
| 2016 | The Art of the Improv Trio, Volume 4 | Ivo Perelman, William Parker, Gerald Cleaver | | 1 |
| 2016 | The Art Of The Improv Trio Volume 3 | Ivo Perelman, Matthew Shipp, Gerald Cleaver | | 1 |
| 2016 | The Art Of The Improv Trio Volume 5 | Ivo Perelman, Joe Morris, Gerald Cleaver | | 1 |
| 2016 | The Art Of The Improv Trio Volume 6 | Ivo Perelman, Joe Morris, Gerald Cleaver | | 1 |
| 2016 | The Art Of The Improv Trio Volume 1 | Ivo Perelman, Karl Berger, Gerald Cleaver | | 1 |
| 2017 | In the Shadow of a Cloud | Yelena Eckemoff, Chris Potter, Adam Rogers, Drew Gress, Gerald Cleaver: Yelena Eckemoff Quintet | | 2 |
| 2018 | Songs of the Wild Cave | Larry Ochs & Gerald Cleaver | | 1 |
| 2019 | What Is to Be Done | Larry Ochs, Nels Cline & Gerald Cleaver | | 1 |
| 2020 | Welcome Adventure! Vol. 1 | Daniel Carter, Matthew Shipp, William Parker, Gerald Cleaver | | 4 |
| 2020 | 27 Licks | Devin Gray feat. Gerald Cleaver | | 1 |
| 2021 | Griots | Gerald Cleaver | | 1 |
| 2022 | Moten/López/Cleaver | Fred Moten / Brandon Lopez / Gerald Cleaver | | 1 |
| 2022 | In the Swarm | Brandon Seabrook with Cooper-Moore and Gerald Cleaver | 3 | 3 |
| 2022 | Welcome Adventure! Vol. 2 | Daniel Carter, Matthew Shipp, William Parker, Gerald Cleaver | | 3 |
| 2023 | In the Wilderness | Gerald Cleaver, Brandon Lopez, HPrizm | | 1 |
| 2023 | Sonnet to Silence | Kenneth Jimenez, Hery Paz, Angelica Sanchez and Gerald Cleaver | | 1 |
| 2024 | The Process | Gerald Cleaver | | 1 |
| 2024 | the blacksmiths, the flowers | Fred Moten, Brandon Lopez, Gerald Cleaver | | 1 |
| — | Adjust | Gerald Cleaver, Veil of Names | | 1 |
| — | Spring Rain | Samuel Blaser feat. Russ Lossing, Drew Gress & Gerald Cleaver | | 1 |
