- Haas, Georg Friedrich
- Haché, Jean-François
- Haefliger, Andreas
- Hahn, Hilary
- Hahn, Reynaldo
- Haimovitz, Matt
- Håkon Ånesen, Arnt
- Halévy, Ludovic
- Halladay, Wallace
- Halmarson, Sarah
- Hambraeus, Bengt
- Hamel, André
- Hamel, Claude
- Hamel, Keith
- Hamelin, Marc-André
- Hamilton, Robert
- Hammarström, Sara
- Hamon, Pierre
- Han, Xue
- Hand, Mark
- Handel, George Frideric
- Hannigan, Barbara
- Harel, Gilad
- Harel, Mélanie
- Harel, Simon
- Harley, James
- Harman, Chris Paul
- Harmens, Hugo
- Harmonie FAMEQ
- Harris, Donald
- Harrold, Steven
- Hartleben, Otto Erich
- Hartwell, Hugh
- Harvey, Jonathan
- Hashimoto, Kyoko
- Hatzis, Christos
- Haubenstock-Ramati, Roman
- Haugen, Bjørn Erik
- Hauser, Alexis
- Hawkins, John
- Haydn, Joseph
- Haydn, Michael
- Hayes, David
- Hayeur, Caroline
- Hayley, Dorothea
- Heard, Alan
- Heaton, Roger
- Hedelin, Fredric
- Heider, Werner
- Heineman, Steve
- Heiniger, Wolfgang
- Helble, Raimond
- Helffer, Claude
- Hellawell, Piers
- Heller, Rebekah
- Helmer, Paul
- Henderickx, Wim
- Hendrix, Jimi
- Henry, Symon
- Henze, Hans Werner
- Héon-Morissette, Barah
- Hereish, Julie
- Hersant, Philippe
- Hervieux, Marc
- Hesby, Marius
- Hespos, Hans-Joachim
- Hess, John
- Hetherington, David
- Hétu, Jacques
- Hétu, Joane
- Heusinger, Detlef
- Heward, John
- Hicks, Darren
- Hill, Peter
- Hillborg, Anders
- Hillesum, Etty
- Hilliard Ensemble
- Hillis, Amy
- Hindemith, Paul
- Hindman, Heather
- Hinton, Newt
- Hippe, Stefan
- Ho, Alice Ping Yee
- Ho, Vincent
- Hochstetter, Gustav
- Hode-Keyser, Philippe
- Hodkinson, Sydney
- Hoerning, Christine
- Hofstetter, Beat
- Holbrook, Geof
- Holdaway, Wendy
- Höller, York
- Holliger, Heinz
- Hood, Susanna
- Horn, Carolyn
- Hornsey, Philip
- Horvey, Amy
- Hossfeld, Christopher
- Höstman, Anna
- Hough, Stephen
- Houle, François
- Houle, Jonathan
- Howes, Heather
- Hratchian, Hraïr
- Hsieh, Dailin
- Huang, Aiyun
- Huber, Klaus
- Huber, Nicolaus A
- Hubert, Marko
- Hudon, Sabin
- Hudry, David
- Huet, Noëlla
- Huhtanen, Carla
- Hui, Melissa
- Hunt, Richard
- Hurel, Philippe
- Hürn, Tsulkie
- Husaruk, Eugène
- Huston, Elizabeth
- Hwang, David Henry
- Hyland, Marc
