- Herbstfestival (1989), 20:004 percussions
- Here? or There? (2000), indefinite durationchimes
- Herma (1960-61), 10:00piano
- Hermione et le Temps (2003)Adapt. Normand Chaurette
- Chanson des gitans (2002)
- Hesitation (1975)celesta and violin
- Les heures qui résonnent… (2010), 20:00violin, cello, piano and processing
- Heureux qui, comme… (1987), 14:00solo soprano and small ensemble (piccolo, baritone saxophone, English horn, percussion, two violins, viola, cello and double bass)
- Hexations, 1:00pianoCycle: One Minute More
- Hic sunt leones (1984)solo piano, flute, 2 clarinets, saxophone, percussion, violin, viola and cello
- Hiérophanie (1970), 40:00soprano and small ensemble
- Higgs Ocean (2008)string quartet and gamelan
- The Hilliard Songbook (1995)
- Himmelfahrt, Nr 81 (2004-05), 39:00organ, soprano and tenor
- Himmels-Tür, Nr 84 (2005), 28:00percussion and one little girl
- Hinamatsuri, 2:00koto
- Hinge (1995-97)flute, oboe, clarinet, piano, violin, cello and double bass
- Hinterland (1982), 29:07piano, percussion and fixed medium
- L’Histoire du soldat [The Soldier’s Tale] (1917), 60:003 actors, violin, double bass, bassoon, cornet, trombone, clarinet and percussion
- Les histoires naturelles (1906)
- Histoires sans paroles (2000)violin, cello and piano
- Hitchcock Études (2014), 20:00amplified string quartet, toy pianos, fixed medium and video
- voice
- Hocquetus David (1360)Orch. Gilles Tremblay, 19872 oboes, 2 trumpets, tenor trombone and 3 percussions
- Hocquetus David (1360)Arr. Ensemble Chorum2 oboes, 2 trumpets, tenor trombone and 3 percussions
- Hodie completi sunt (1615)
- Hoedown in Sixty Seconds, 1:00pianoCycle: One Minute More
- Hoffnung, Nr 89 (2007), 34:00cello, alto and violin
- Hoketus (1975-77)panpipes, alto saxophone, bass guitar, Yamaha DX-7 synthetizer, piano and percussion
- Hölderlin Chöre (1986), 13:00chorus
