| Heller, Stephen | Stephen Heller | Composer | 1963 | 1 | |
| Hansen, Ralph | Ralph Hansen | Composer | 1983 | 1 | |
| Hajir Azad, Arash | Arash Hajir Azad | Composer | 2010 | 1 | |
| Hasari, Murat | Murat Hasari | Composer | 2010 | 8 | |
| Hopff, Alexander | Alexander Hopff | Composer | 2002 | 1 | |
| Hartmann, Walter | Walter Hartmann | Composer | 1956 - 1958 | 2 | |
| Heise, Peter, | Peter Heise | Composer | 1871 - 1899 | 5 | 1 |
| Hennum, J. E., | J. E. Hennum (J. E. Hennum) | Composer | 1873 - 1898 | 12 | |
| Henneberg, Richard, | Richard Henneberg | Composer | 1881 - 1885 | 2 | |
| Händel, George Frideric, | George Frideric Händel | Composer | 1887 - 1904 | 2 | |
| Hirsch, G., | G. Hirsch | Composer | 1889 | 1 | |
| Hertz, Edmund, | Edmund Hertz | Composer | 1899 | 1 | |
| Halvorsen, Johan, | Johan Halvorsen | Composer | 1900 - 1951 | 12 | |
| Haarclou, J., | J. Haarclou | Composer | 1902 | 1 | |
| Heyerdahl, Anders, | Anders Heyerdahl | Composer | 1903 - 1909 | 3 | |
| Halvorsen, C., | C. Halvorsen | Composer | 1904 | 1 | |
| Hartmann, Emil, | Emil Hartmann | Composer | 1905 | 1 | |
| Hughes, H., | H. Hughes | Composer | 1905 | 1 | |
| Haarklou, Johannes, | Johannes Haarklou | Composer | 1908 - 1946 | 4 | |
| Holter, -, | - Holter | Composer | 1908 - 1909 | 2 | |
| Husby, Per, | Per Husby | Composer | 1973 | 1 | |
| Hvoslef, Ketil, | Ketil Hvoslef | Composer | 1993 - 1998 | 19 | |
| Halle, Morten, | Morten Halle | Composer | 2003 | 1 | |
| Henninen, Aina, | Aina Henninen | Composer | 2010 | 1 | |
| Henriques, -, | - Henriques | Composer | 1922 - 1928 | 3 | |
| Hänsel, Manfred | Manfred Hänsel | Composer | 1975 | 1 | |
| Holst, Gustav | Gustav Holst | Composer | 1981 | 4 | |
| Haq, Waheedul | Waheedul Haq | Composer | 1993 | 1 | |
| Hilprecht, Uwe | Uwe Hilprecht | Composer | 1983 - 1989 | 2 | |
| Hoskin, Steve | Steve Hoskin | Composer | 2012 | 1 | |
| Horner, James | James Horner | Composer | 1987 | 1 | |
| Hamelin, Clode | Clode Hamelin | Composer | 1991 | 1 | |
| Holiday, Billie | Billie Holiday | Composer | 1988 | 1 | |
| Hayashi, Hikaru | Hikaru Hayashi | Composer | 1991 | 1 | |
| Halldórsson, Sigurður | Sigurður Halldórsson | Composer | 1993 | 1 | |
| Haselbek, Willi | Willi Haselbek | Composer | 1993 - 2001 | 2 | |
| Hertel, Piotr | Piotr Hertel | Composer | 1994 | 1 | |
| Hall, George | George Hall | Composer | 1890 - 1962 | 2 | |
| Holtsch, Alexandra | Alexandra Holtsch | Composer | 2002 - 2009 | 5 | |
| Holloway, Theo | Theo Holloway | Composer | 2014 | 36 | |
| Hashagen, Klaus | Klaus Hashagen | Composer | 1966 | 1 | |
| Hilliger, Olaf | Olaf Hilliger | Composer | 2003 | 3 | |
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