- Habanera (1929)
- Hacia el umbral del aire (2005), 7:00accordion and processing
- Half-Remembered City (2002), 10:00four-hand piano
- Halo Ballet (2010-11), 12:00piano, MIDI keyboard, percussion, harp (or guitar) and manipulators (video game Halo)
- Hämmerklavier (1994-95)piano
- Hämmerklavier XII (2004), 14:00prepared piano
- Hämmerklavier XIV (2002-03), 9:00MIDI piano (Yamaha Disklavier)
- Hämmerklavier XIX (2006), 11:00piano
- Hämmerklavier XVI, 17:00prepared piano
- Han no 12 (1993)8 violins, 2 violas, 2 cellos and 2 double basses
- HanDVerb (2018), 13:00percussion and processing
- erhu, guzheng and orchestra
- Harbor Town Love at Millenium’s End (1994), 20:00saxophone, prepared piano and percussion
- Harlekin, Nr 42 (1975)clarinet
- Harmonien, Nr 85 (2006), 15:00flute and trumpet (or bass clarinet)
- Harpsichord Concerto (1923-26)
- Hatchepsout (2008), 7:48string instrument, jazz piano, double bass, percussion and solo instrument (or oriental voice)
- Hautbois concertant (2010), 15:00oboe and orchestra
- Havona, Nr 94 (2007), 25:00bass and fixed medium
- Hear My Voice (2017)
- Heart of Light (1988)piccolo in
A -flat - 4 violins, 2 violas, 2 cellos, 2 double basses and stereo fixed medium
- Heiligenstadt (2001), 15:00string orchestra
- Helluland (2015), 5:002 Inuit throat singers, experimental throat singer and jazz, shakuhachi (or flute), cello, percussion, oud (or harp or guitar) and processing
- Herbstfestival (1989), 20:004 percussions
- 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
