- Hamilton, William, 1891-19171
- Han'guk Pangsong Kongsa8
- Handel, George Frideric, 1685-17595
- Hanson, Howard, 1896-19812
- Hanson, Raymond, 1919-1
- Happe, Richard1
- Harbison, Helen7
- Harbison, John1
- Harbison, Rose Mary1
- Harelson, Paul1
- Hargis, Billy James, 1925-2
- Hargrave, William (Bass)1
- Harnick, Sheldon1
- Harold Kohon Chamber Music Ensemble1
- Harold Kohon String Quartet1
- Harold Kohon Trio1
- Harrell, Mack1
- Harris, Roy, 1898-19791
- Harrison, Jay1
- Harrison, Lou, 1917-20032
- Harrison, Richard1
- Harrison, Wallace K (Wallace Kirkman), 1895-19811
- Harry, William2
- Harsányi, Janice1
- Hartenberger, Russell1
- Hartman, Lynne2
- Hartmann, Hans1
- Hartmann, Thomas de, 1885-19563
- Harvard Wind Ensemble1
- Hassler, Hans Leo, 1564-16121
- Haubenstock-Ramati, Roman1
- Hauck, Robert (Trombonist)1
- Hawes, Hampton, 1928-19771
- Hawkins, Osie1
- Haydn, Joseph, 1732-18094
- Hayes, Isaac1
- Hayes, Louis, 1937-1
- Hayes, Marvin, 1926-19951
- Hays, Sorrel, 1941-20203
- Hayward, Thomas, 1917-19951
- Hazard and Heimlich1
- Häfner, Herbert1
- He, Runyuan1
- Hebert, Bliss1
- Hegarty, Terance1
- Heifetz, Benar2
- Heifetz, Jascha, 1901-19871
- Heilbut, Francis1
- Heine, Heinrich, 1797-18561
- Heinrich, Anthony Philip, 1781-18613
- Heisler, Richard1
- Heiss, John1
- Heldrich, Claire3
- Heller, Marcia1
- Heller, Marsha2
- Hellermann, William5
- Hendl, Walter, 1917-200713
- Hendricks, Barbara1
- Heninger, Robert1
- Henle, Hubert1