- Hadley, Henry Kimball
- Hageman, Richard
- Hahn, Carl
- Hahn, Reynaldo
- Halévy, Fromental
- Halvorsen, Leif
- Hammond, William Gardiner
- Händel, Georg Friedrich
- Hartmann, Ludwig
- Harty, Hamilton
- Hasse, Adolfo
- Hasse, Johann Adolph
- Hassler, Hans Leo
- Hatton, John Liptrot
- Hauer, Karl
- Hauptmann, Moritz
- Hausegger, Siegmund von
- Haydn, Franz Joseph
- Head, Michael
- Hedgcock, Walter
- Heggie, Jake
- Hellwig, Karl Ludwig
- Hely-Hutchinson, Victor
- Henschel, George
- Herbert, Victor
- Hermann, Robert
- Hernández, Hermilio
- Hernández, Isidoro
- Hernando, Rafael
- Hertzberg, Rudolf von
- Herzog, Sigmund
- Herzogenberg, Heinrich von
- Hessenberg, Kurt
- Heuß, Alfred
- Hillemacher, Paul
- Hiller, Ferdinand von
- Himmel, Friedrich Heinrich
- Hindemith, Paul
- Hoffmeister, Leon Abbott
- Hoiby, Lee
- Holmès, Augusta
- Holmes, Brian
- Holst, Gustav
- Holstein, Franz von
- Hölzel, Gustav
- Honegger, Arthur
- Hook, James
- Hopkins, Antony
- Hopkinson, Francis
- Horder, Mervyn
- Hösel, Kurt
- Hovhaness, Alan
- Howells, Herbert Norman
- Hubay, Jenö
- Hüe, Georges
- Huertos, Pablo
- Hugh-Jones, Elaine
- Hughes, Herbert
- Huhn, Bruno Siegfried
- Hume, Tobias
- Hummel, Ferdinand
- Humperdinck, Engelbert
- Humphreys, Don
- Hundley, Richard
- Huss, Henry Holden
