- Henley, Don1
- Henry, Sheldon2
- Henze, Hans Werner, 1926-20121
- Herbert, Victor, 1859-19241
- Herder, Ronald1
- Hernández, César1
- Herrera de la Fuente, Luis, 1916-20141
- Hersch, Ralph1
- Hersh, Ralph3
- Hertig, Renee1
- Hess, Benton1
- Hess, Jake1
- Heussenstamm, George1
- Hill, William H., 1925-19981
- Hiller, Lejaren, 1924-19941
- Hills, Chris1
- Hillyer, Howard1
- Hindemith, Paul, 1895-19638
- Hines, Roy1
- Hobson, Bruce, 1943-1
- Hodeir, André, 1921-20111
- Hodkinson, Sydney1
- Hoffman, Allen, 1942-1
- Hoffman, David (Cellist)1
- Hoffman, Stanley, 1929-2
- Hofmann, Leopold, 1738-17931
- Hoiby, Lee1
- Holm, Einar (Cellist)1
- Holst, Gustav, 1874-19341
- Holtz, Deborah (Violist)3
- Holzman, David1
- Hope of the Future1
- Hopf, Gertraud1
- Hopkins, Donald, 1931-2
- Hopkins, Kenyon1
- Horowitz, Vladimir, 1903-19891
- Hoshino, George1
- Hosticka, Frank1
- Houllif, Murray1
- Houseman, John, 1902-19881
- Housman, A. E. (Alfred Edward), 1859-19361
- Houston, Cisco1
- Hovda, Eleanor, 1940-1
- Hovhaness, Alan, 1911-20005
- Howard University1
- Howard, Al1
- Hoxworth, Mary Ann2
- Hubbard, Freddie20
- Huggler, John1
- Hughes, Deniz2
- Hunkins, Arthur B., 1937-2
- Hurley, Laurel1
- Husa, Karel, 1921-20161
- Hübner, Carla3
- Hwang, Pyŏng-gi, 1936-1
- Hyde, Peter1
- Hymovitz, Edwin3
- Ibsen, Henrik, 1828-19061
- Illosovay, Elsor von, 1937-1
- Imathiu, Florence1