| Hofmann, Tobias | Tobias Hofmann | Composer | 2004 | 1 | |
| Hotvedt, Sindre | Sindre Hotvedt | Composer | 2015 - 2017 | 38 | |
| Hashimoto, Ichiko | Ichiko Hashimoto | Composer | 1989 - 1990 | 2 | |
| Hope, Peter | Peter Hope | Composer | 2006 | 1 | |
| Harvey, PJ | PJ Harvey | Composer | 2009 | 1 | |
| Henz, Hartmut | Hartmut Henz | Composer | 1955 | 1 | |
| Harnett, Daniel | Daniel Harnett | Composer | 2010 | 1 | |
| Heimüller, Jürgen | Jürgen Heimüller | Composer | 2009 | 11 | |
| Hübner, Markus | Markus Hübner | Composer | 2015 | 1 | |
| Hamza, Andreas | Andreas Hamza | Composer | 2011 | 1 | |
| Harris, Ted | Ted Harris | Composer | 1961 | 1 | 1 |
| Heuser, Kurt | Kurt Heuser | Composer | 1961 | 1 | |
| Haune, Kjell-Ole | Kjell-Ole Haune | Composer | 2011 | 1 | 1 |
| Holloway, Robin | Robin Holloway | Composer | 2013 | 1 | |
| Haugaard, Harald | Harald Haugaard | Composer | 2013 | 1 | 1 |
| Haslauer, Gernot | Gernot Haslauer | Composer | 2013 | 1 | |
| Hall, Pauline | Pauline Hall | Composer | 1950 - 1958 | 3 | 1 |
| Hansson, Carl-Erik | Carl-Erik Hansson | Composer | 1957 | 1 | |
| Hiller Jr., Lejaren A. | Lejaren A. Hiller Jr. | Composer | 1956 | 1 | |
| Hagar, Don | Don Hagar | Composer | 1998 | 1 | |
| Holter, Iver | Iver Holter | Composer | 1938 | 1 | |
| Hess, Lindell | Lindell Hess | Composer | 1948 | 1 | |
| Hristić, Zoran | Zoran Hristić | Composer | 2000 | 1 | |
| Haentjes, Werner | Werner Haentjes | Composer | 1976 | 1 | |
| Hoge, John | John Hoge | Composer | 1993 | 1 | |
| Henry Cow | Henry Cow | Composer | 2018 | 1 | |
| Hraščanec, Lucija | Lucija Hraščanec | Composer | 2015 | 1 | |
| Haugland, Glenn Erik | Glenn Erik Haugland | Composer | 2010 | 1 | |
| Hunsinger, Philippe | Philippe Hunsinger | Composer | 2011 | 3 | |
| Hukkelberg, Hanne | Hanne Hukkelberg | Composer | 2022 | 47 | |
| Hejl, Matouš | Matouš Hejl | Composer | 2022 | 1 | |
| Høyer, Emil Assing | Emil Assing Høyer | Composer | 2025 | 1 | |
| Honeck, Manfred | Manfred Honeck | Composer, Conductor | 2001 | 5 | |
| Hoorn, Paul | Paul Hoorn | Composer, Conductor, Musician | 1995 | 3 | |
| Halstensen, Atle | Atle Halstensen | Composer, Musical Director | 2006 - 2012 | 42 | 1 |
| Høeberg, Georg | Georg Høeberg | Composer, Musical Director | 1913 - 1928 | 2 | |
| Harley, Gretta | Gretta Harley | Composer, Musical Director | 2006 | 4 | |
| Hofmann, Johannes | Johannes Hofmann | Composer, Musical Director | 2010 - 2013 | 3 | |
| Haydn, Franz Joseph | Franz Joseph Haydn | Composer, Musician | 1879 - 2019 | 19 | |
| Halvorsen, Tom Harry | Tom Harry Halvorsen | Composer, Musician | 1983 - 1986 | 2 | |
| Ha, Tiffany | Tiffany Ha | Composer, Musician | 2009 | 2 | |
| Hjetland, Jullie | Jullie Hjetland | Composer, Musician | 2018 | 78 | |
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