- H2O per Severino (1965)
- Ha! (2008), 1:00pianoCycle: One Minute More
- 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)
- Ham Pardesi (2014), 12:009 musicians, iPods and audio scores
- 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
- Hang On (2008), 1:00pianoCycle: One Minute More
- erhu, guzheng and orchestra
- Harbor Town Love at Millenium’s End (1994), 20:00saxophone, prepared piano and percussion
- Hark! A Pageant! (2015), 10:00 – 12:002 or 3 melodic instruments, drone and percussion
- Harlekin, Nr 42 (1975)clarinet
- Harmonien, Nr 85 (2006), 15:00flute and trumpet (or bass clarinet)
- Harpsichord Concerto (1923-26)
- Hatchepsout (2008), 7:48oud, 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
