| 1993 | The Pied Piper of the Opera | Martin Fröst, Singapore Symphony Orchestra & Lan Shui | 1 |
| 1994 | French Beauties and Swedish Beasts | Martin Fröst, Roland Pöntinen | 1 |
| 1994 | String Quartets nos. 1 & 2 / Prelude for Clarinet Solo / Der unterbrochene Gedanke / String Trio / Quartet for Clarinet & String Trio | Krzysztof Penderecki; The Tale Quartet, Martin Fröst | 1 |
| 1997 | Close Ups: Music for Clarinet & Percussion | Martin Fröst, Niklas Brommare, Fredrik Högberg & Siw Malmkvist | 1 |
| 1998 | Martin Fröst Plays Concertos Dedicated to Benny Goodman | Martin Fröst, Malmö Symphony Orchestra, Lan Shui | 1 |
| 2000 | The Pied Piper of the Opera | Martin Fröst, Singapore Symphony Orchestra, Lan Shui | 1 |
| 2002 | Robert Schumann; Martin Fröst, Roland Pöntinen | Robert Schumann; Martin Fröst, Roland Pöntinen | 1 |
| 2003 | Clarinet Concerto / Liquid Marble / Violin Concerto No 1 | Anders Hillborg; Martin Fröst, Anna Lindal, Swedish Radio Symphony Orchestra, Esa‐Pekka Salonen | 1 |
| 2003 | Clarinet Concerto & Quintet | Mozart; Fröst, Amsterdam Sinfonietta, Peter Oundjian, Vertavo Quartet | 4 |
| 2004 | BBC Music, Volume 13, Number 1: Piano, Vocal & Chamber Works | Robert Schumann; Emma Bell, Jonathan Biss, Martin Fröst, Jerusalem Quartet | 1 |
| 2005 | Clarinet Sonatas & Trio | Brahms; Fröst, Pöntinen, Thedéen | 1 |
| 2006 | Clarinet Concertos & Quintet | Carl Maria von Weber; Martin Fröst, Tapiola Sinfonietta, Jean‐Jacques Kantorow | 1 |
| 2007 | Clarinet Concertos | Nielsen, Aho; Martin Fröst, Lahti Symphony Orchestra, Osmo Vänskä | 2 |
| 2008 | Alan Gilbert conducts Christopher Rouse | Christopher Rouse; Royal Stockholm Philharmonic Orchestra, Alan Gilbert, Martin Fröst | 1 |
| 2008 | Clarinet concertos | Bernhard Crusell; Martin Fröst, Göteborgs Symfoniker, Okko Kamu | 1 |
| 2010 | Frost and Friends | Martin Fröst | 1 |
| 2011 | Dances to a Black Pipe | Martin Fröst, Australian Chamber Orchestra, Richard Tognetti | 1 |
| 2013 | Martin Fröst plays Mozart | Mozart; Martin Fröst | 2 |
| 2014 | Clarinet Quintet / Clarinet Trio / 6 Songs | Brahms; Martin Fröst, Janine Jansen, Boris Brovstyn, Maxim Rysanov, Torleif Thedéen, Roland Pöntinen | 1 |
| 2014 | Quintets | Mozart; Orlando Quartet, Nobuko Imai, Vertavo Quartet, Martin Fröst, Berlin Philharmonic Wind Quintet, Stephen Hough, Ensemble Villa Musica | 1 |
| 2014 | Nordic Concertos | Anders Hillborg, Vagn Holmboe, Karin Rehnqvist, Bernhard Crusell; Martin Fröst | 1 |
| 2015 | Roots | Martin Fröst & The Royal Stockholm Philharmonic Orchestra | 4 |
| 2017 | Quatuor pour la fin du temps | Messiaen; Martin Fröst, Lucas Debargue, Janine Jansen, Torleif Thedéen | 1 |
| 2020 | Vivaldi | Vivaldi; Martin Fröst, Concerto Köln | 1 |
| 2022 | Night Passages | Martin Fröst | 1 |
| 2022 | Emerging From Currents and Waves | Jesper Nordin; Martin Fröst, Swedish Radio Symphony Orchestra, Esa-Pekka Salonen | 3 |
| 2023 | Mozart: Ecstasy & Abyss [LEIPZIG, 1789] | Mozart; Svenska Kammarorkestern & Martin Fröst | 1 |
| 2023 | Mozart: Ecstasy & Abyss [PRAGUE, 1791] | Mozart; Svenska Kammarorkestern & Martin Fröst | 2 |
| 2025 | B.A.C.H. | Bach; Martin Fröst | 2 |