- Haas, Georg Friedrich
- Hahn, Reynaldo
- Håkon Ånesen, Arnt
- Hall, Emily
- Hambraeus, Bengt
- Hamel, André
- Hamel, Keith
- Han, Xue
- Hand, Mark
- Handel, George Frideric
- Hanlon, Kevin
- Harley, James
- Harman, Chris Paul
- Harmens, Hugo
- Harris, Donald
- Harrison, Jonty
- Hartwell, Hugh
- Harvey, Jonathan
- Hatzis, Christos
- Haubenstock-Ramati, Roman
- Haugen, Bjørn Erik
- Hawkins, John
- Haydn, Joseph
- Haydn, Michael
- Heard, Alan
- Hébert-Tremblay, Suzanne
- Hedelin, Fredrik
- Heider, Werner
- Heimbecker, Steve
- Heineman, Steve
- Heiniger, Wolfgang
- Helble, Raimond
- Hellawell, Piers
- Henderickx, Wim
- Hendrix, Jimi
- Henry, Pierre
- Henry, Symon
- Henze, Hans Werner
- Héon-Morissette, Barah
- Hersant, Philippe
- Hespos, Hans-Joachim
- Hétu, Jacques
- Hétu, Joane
- Heusinger, Detlef
- Heward, John
- Hiatus
- Hillborg, Anders
- Hindemith, Paul
- Hindman, Heather
- Hinton, Newt
- Hippe, Stefan
- Hirayama, Haruka
- Ho, Alice Ping Yee
- Ho, Vincent
- Hodkinson, Sydney
- Hoffman, Elizabeth
- Holbrook, Geof
- Höller, York
- Holliger, Heinz
- Hollmer, Lars
- Honegger, Arthur
- Hope, Cat
- Horsley, Joshua
- Horvey, Amy
- Höstman, Anna
- Houle, François
- Hron, Terri
- Huard, Bruce
- Huber, Klaus
- Huber, Nicolaus A
- Hudon, Sabin
- Hudry, David
- Hui, Melissa
- Hunt, Richard
- Hurel, Philippe
- Hürn, Tsulkie
- Hyland, Marc