| 1974 | We Could Be Flying | Karin Krog, Steve Kuhn, Steve Swallow, Jon Christensen | | 4 |
| 1975 | Hotel Hello | Gary Burton / Steve Swallow | | 2 |
| 1978 | Unexpected | Kenny Davern, Steve Lacy, Steve Swallow, Paul Motian | | 1 |
| 1980 | Home | Steve Swallow | | 2 |
| 1985 | Night-glo | Carla Bley with Steve Swallow | | 5 |
| 1988 | Duets | Carla Bley / Steve Swallow | | 5 |
| 1990 | The Life of a Trio: Sunday | Paul Bley / Jimmy Giuffre / Steve Swallow | | 2 |
| 1990 | The Life of a Trio: Saturday | Paul Bley / Jimmy Giuffre / Steve Swallow | | 4 |
| 1992 | Fly Away Little Bird | Jimmy Giuffre, Paul Bley & Steve Swallow | | 1 |
| 1992 | Swallow | Steve Swallow | | 1 |
| 1993 | Go Together | Carla Bley / Steve Swallow | | 4 |
| 1994 | Real Book | Steve Swallow | | 1 |
| 1996 | Conversations With a Goose | Jimmy Giuffre, Steve Swallow, Paul Bley | | 1 |
| 1996 | Carla | Jimmy Giuffre with Paul Bley & Steve Swallow | | 1 |
| 1997 | Deconstructed | Steve Swallow | | 1 |
| 1997 | Carla | Steve Swallow | | 1 |
| 1999 | Three Guys | Lee Konitz, Steve Swallow, Paul Motian | | 1 |
| 2000 | Always Pack Up Your Uniform On Top | Steve Swallow | | 1 |
| 2001 | Brutto Tempo | Jasper van ’t Hof, Charlie Mariano & Steve Swallow | | 1 |
| 2002 | >trio< | Hans Ulrik > Steve Swallow > Jonas Johansen | | 1 |
| 2002 | Grey | Puschkin & Steve Swallow, Don Alias & Victor Lewis | | 1 |
| 2002 | Little Poems | Cappelletti / Swallow / Visibelli | | 1 |
| 2002 | Noisy Old Men | John Abercrombie, Mick Goodrick, Steve Swallow, Gary Chaffee | | 1 |
| 2002 | Nostalgia | Jazz in Trio featuring Giovanni Mazzarino, Steve Swallow & Adam Nussbaum | | 1 |
| 2004 | Live in Japan, Vol. 2 | Steve Kuhn & Steve Swallow | | 1 |
| 2005 | New Old Age | John Taylor, Steve Swallow, Gabriele Mirabassi | | 1 |
| 2006 | Awakening | Mark O'Leary / Steve Swallow / Pierre Favre | | 1 |
| 2006 | So There | Steve Swallow with Robert Creeley | | 1 |
| 2006 | Three For All | We3: Dave Liebman, Steve Swallow, Adam Nussbaum | | 1 |
| 2007 | Two By Two | Steve Kuhn & Steve Swallow | | 1 |
| 2008 | Believe in Spring | Hans Ulrik, Steve Swallow & Jonas Johansen Trio | | 1 |
| 2008 | Swallow Songs | Steve Swallow & Bohuslän Big Band | | 1 |
| 2009 | Playing in Traffic | Swallow / Talmor / Nussbaum | | 2 |
| 2009 | Carla’s Christmas Carols | Carla Bley, Steve Swallow & The Partyka Brass Quintet | | 4 |
| 2012 | Agnostic Chant Book | Jonas Schoen Sextet & Steve Swallow | | 1 |
| 2012 | Soyeusement - Live in Noirlac | Michel Godard, Steve Swallow, Gavino Murgia, Bruno Helstroffer, Fanny Paccoud | | 1 |
| 2013 | Trios | Carla Bley / Andy Sheppard / Steve Swallow | | 3 |
| 2013 | Right Together | Lara Iacovini Featuring Steve Swallow | | 1 |
| 2014 | Willow: A Jazz Suite | Cinzia Roncelli sings Swallow | | 1 |
| 2014 | The New Standard | Jamie Saft, Steve Swallow, Bobby Previte | | 1 |
| 2014 | Simple Songs | Christian Muthspiel & Steve Swallow | | 1 |
| 2014 | Singular Curves | Swallow / Talmor / Nussbaum | | 2 |
| 2015 | The Oldest Living Thing | Fulvio Sigurtà with Steve Swallow & Federico Casagrande | | 1 |
| 2016 | Andando el tiempo | Carla Bley / Andy Sheppard / Steve Swallow | | 6 |
| 2018 | To and From the Heart | Steve Kuhn Trio with Steve Swallow | Joey Baron | | 2 |
| 2019 | You Don't Know The Life | Jamie Saft, Steve Swallow, Bobby Previte | | 1 |
| 2020 | Life Goes On | Carla Bley / Andy Sheppard / Steve Swallow | | 3 |
| 2020 | Swallow Tales | John Scofield, Bill Stewart, Steve Swallow | 5 | 2 |
| 2021 | Over the Rainbow | Emborg, Swallow | | 1 |
