1974We Could Be FlyingKarin Krog, Steve Kuhn, Steve Swallow, Jon Christensen4
1975Hotel HelloGary Burton / Steve Swallow2
1978UnexpectedKenny Davern, Steve Lacy, Steve Swallow, Paul Motian1
1980HomeSteve Swallow2
1985Night-gloCarla Bley with Steve Swallow5
1988DuetsCarla Bley / Steve Swallow5
1990The Life of a Trio: SundayPaul Bley / Jimmy Giuffre / Steve Swallow2
1990The Life of a Trio: SaturdayPaul Bley / Jimmy Giuffre / Steve Swallow4
1992Fly Away Little BirdJimmy Giuffre, Paul Bley & Steve Swallow1
1992SwallowSteve Swallow1
1993Go TogetherCarla Bley / Steve Swallow4
1994Real BookSteve Swallow1
1995Conversations With a GooseJimmy Giuffre, Steve Swallow, Paul Bley1
1996CarlaJimmy Giuffre with Paul Bley & Steve Swallow1
1997DeconstructedSteve Swallow1
1997CarlaSteve Swallow1
1999Three GuysLee Konitz, Steve Swallow, Paul Motian1
2000Always Pack Up Your Uniform On TopSteve Swallow1
2001Brutto TempoJasper van ’t Hof, Charlie Mariano & Steve Swallow1
2002>trio<Hans Ulrik > Steve Swallow > Jonas Johansen1
2002GreyPuschkin & Steve Swallow, Don Alias & Victor Lewis1
2002Little PoemsCappelletti / Swallow / Visibelli1
2002Noisy Old MenJohn Abercrombie, Mick Goodrick, Steve Swallow, Gary Chaffee1
2002NostalgiaJazz in Trio featuring Giovanni Mazzarino, Steve Swallow & Adam Nussbaum1
2004Live in Japan, Vol. 2Steve Kuhn & Steve Swallow1
2005New Old AgeJohn Taylor, Steve Swallow, Gabriele Mirabassi1
2006AwakeningMark O'Leary / Steve Swallow / Pierre Favre1
2006So ThereSteve Swallow with Robert Creeley1
2006Three For AllWe3: Dave Liebman, Steve Swallow, Adam Nussbaum1
2007Two By TwoSteve Kuhn & Steve Swallow1
2008Believe in SpringHans Ulrik, Steve Swallow & Jonas Johansen Trio1
2008Swallow SongsSteve Swallow & Bohuslän Big Band1
2009Playing in TrafficSwallow / Talmor / Nussbaum2
2009Carla’s Christmas CarolsCarla Bley, Steve Swallow & The Partyka Brass Quintet4
2012Agnostic Chant BookJonas Schoen Sextet & Steve Swallow1
2012Soyeusement - Live in NoirlacMichel Godard, Steve Swallow, Gavino Murgia, Bruno Helstroffer, Fanny Paccoud1
2013TriosCarla Bley / Andy Sheppard / Steve Swallow3
2013Right TogetherLara Iacovini Featuring Steve Swallow1
2014Willow: A Jazz SuiteCinzia Roncelli sings Swallow1
2014The New StandardJamie Saft, Steve Swallow, Bobby Previte1
2014Simple SongsChristian Muthspiel & Steve Swallow1
2014Singular CurvesSwallow / Talmor / Nussbaum2
2015The Oldest Living ThingFulvio Sigurtà with Steve Swallow & Federico Casagrande1
2016Andando el tiempoCarla Bley / Andy Sheppard / Steve Swallow6
2018To and From the HeartSteve Kuhn Trio with Steve Swallow | Joey Baron2
2019You Don't Know The LifeJamie Saft, Steve Swallow, Bobby Previte1
2020Life Goes OnCarla Bley / Andy Sheppard / Steve Swallow3
2020Swallow TalesJohn Scofield, Bill Stewart, Steve Swallow2

Album + Compilation

2003Emphasis & Flight, 1961Jimmy Giuffre, Paul Bley & Steve Swallow1

Album + Live

1995Songs With LegsAndy Sheppard / Carla Bley / Steve Swallow3
1999Are We There Yet?Carla Bley / Steve Swallow3
2001Have We Told You All You'd Thought To Know?Robert Creeley · Chris Massey · Steve Swallow · David CasT · David Torn1
2003Damaged in TransitSteve Swallow, Chris Potter, Adam Nussbaum1
2004Live in Japan, Vol. 1Steve Kuhn & Steve Swallow1
2004The Lost ChordsCarla Bley / Andy Sheppard / Steve Swallow / Billy Drummond3
2009Quartet LiveGary Burton, Pat Metheny, Steve Swallow, Antonio Sánchez1

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