| composer | title | inst | saxophonist | CD title | CD label | catalogue | time |
| Hagen | Harlem Nocturne | Sax Ensemble | Nuclear Whales Saxophone Orchestra | A Retrospective | nuclearwhales.com | WM 105 CD | 6:22 |
| Harbison | San Antonio Sonata Movt 1 | Alto Sax & Piano | William Street | hélioSax | Arktos | CD97018 | 3:45 |
| Harbison | San Antonio Sonata Movt 2 | Alto Sax & Piano | William Street | hélioSax | Arktos | CD97018 | 3:23 |
| Harbison | San Antonio Sonata Movt 3 | Alto Sax & Piano | William Street | hélioSax | Arktos | CD97018 | 3:58 |
| Hartley | Petite Suite Movt 1 Intrada | Alto Sax | Jamal Rossi | Caprice | Open Loop | Open Loop 016 | :49 |
| Hartley | Petite Suite Movt 2 Tango | Alto Sax | Jamal Rossi | Caprice | Open Loop | Open Loop 016 | 1:25 |
| Hartley | Petite Suite Movt 3 Scherzo | Alto Sax | Jamal Rossi | Caprice | Open Loop | Open Loop 016 | :47 |
| Hartley | Petite Suite Movt 4 Nocturne | Alto Sax | Jamal Rossi | Caprice | Open Loop | Open Loop 016 | 1:43 |
| Hartley | Petite Suite Movt 5 | Alto Sax | Jamal Rossi | Caprice | Open Loop | Open Loop 016 | 1:43 |
| hartley | Poem | Tenor Sax & Piano | Steven Mauk | Tenor Excursions | Open Loop | Open Loop 018 | 3:26 |
| Hartley | Sonata Movt 1 | Tenor Sax & Piano | Steven Mauk | Tenor Excursions | Open Loop | Open Loop 018 | 3:40 |
| Hartley | Sonata Movt 2 | Tenor Sax & Piano | Steven Mauk | Tenor Excursions | Open Loop | Open Loop 018 | 1:40 |
| Hartley | Sonata Movt 3 | Tenor Sax & Piano | Steven Mauk | Tenor Excursions | Open Loop | Open Loop 018 | 6:08 |
| Havel | AER [la danse] | Sopranino, Piccolo, Celeste, Percussion | Proxima Centauri | Proxima Centauri/Christope Havel | Álba Musica | MU 291672 | 7:48 |
| Havel | Oxyton | Baritone Sax | Marie-Bernadette Charrier | Marie-Bernadette Charrier | Octandre | OC931 | 8:24 |
| Havel | RamDam | Sopranino, Piccolo, Celeste, Percussion | Proxima Centauri | Proxima Centauri/Christope Havel | Álba Musica | MU 291672 | 15:55 |
| Havel | S | Sopranino, Piccolo, Celeste, Percussion | Proxima Centauri | Proxima Centauri/Christope Havel | Álba Musica | MU 291672 | 16:00 |
| Heath | Out of the Cool | Soprano Sax & Orchestra | John Harle | Saxophone concertos | EMI Classics | CDC 7 54301 2 | 6:48 |
| Heiden | Diversion | Alto Sax and Piano | Kenneth Fischer | Alto & Soprano Saxophones | ACA | CM 20003-3 | 7:07 |
| Heiden | Diversion | Sax & Wind Ensemble | Eugene Rosseau | Saxophone Vocalise | Delos | DE3188 | 7:14 |
| Heiden | Fantasia Concertant | Sax & Wind Ensemble | Eugene Rosseau | Saxophone Vocalise | Delos | DE3188 | 12:27 |
| Heiden | Solo | Alto Sax & Piano | Detlef Bensmann | Saxophone & Piano Vol. 2 | Koch Schwann | 3-6430-2 | 4:40 |
| Heiden | Solo | Alto Sax & Piano | Eugene Rosseau | Saxophone Colors | Delos | D/CD 1007 | 4:30 |
| Heiden | Sonata Movt 1 | Alto Sax & Piano | Eugene Rousseau | Saxophone Masterpieces | Riax | RICA-1001 | 6:05 |
| Heiden | Sonata Movt 2 | Alto Sax & Piano | Eugene Rousseau | Saxophone Masterpieces | Riax | RICA-1001 | 2:56 |
| Heiden | Sonata Movt 3 | Alto Sax & Piano | Eugene Rousseau | Saxophone Masterpieces | Riax | RICA-1001 | 6:07 |
| Henderson | Alabamy Bound | Sax Ensemble | Nuclear Whales Saxophone Orchestra | A Retrospective | nuclearwhales.com | WM 105 CD | 2:05 |
| Hindemith | Sonate Movt 1 | Alto Sax & Piano | Arno Bornkamp | Saxophone Sonatas | Globe | GLO 5032 | 1:40 |
| Hindemith | Sonate Movt 2 | Alto Sax & Piano | Arno Bornkamp | Saxophone Sonatas | Globe | GLO 5032 | 3:12 |
| Hindemith | Sonate Movt 3 | Alto Sax & Piano | Arno Bornkamp | Saxophone Sonatas | Globe | GLO 5032 | 2:16 |
| Hindemith | Sonate Movt 4 | Alto Sax & Piano | Arno Bornkamp | Saxophone Sonatas | Globe | GLO 5032 | 2:35 |
| Hindson | In Search of Ecstasy | Alto Sax & Piano | James Nightingale | Drive | JLN | JNL-2000-01 | 6:35 |
| Hindson | Jungle Fever | Tenor Sax & Piano | Barry Cockcroft | Beat Me | reedmusic.com | RM020 | 7:18 |
| Hoffmann | Der Blutige Schaffner | Sax Quartet | Ensemble Atmosphère | Ensemble Atmosphère | reedmusic.com | RM021 | 16:22 |
| Holland | Sonata Movt 1 | Alto Sax & Piano | Margery Smith | Viva Sax! | Tall Poppies | TP132 | 3:30 |
| Holland | Sonata Movt 2 | Alto Sax & Piano | Margery Smith | Viva Sax! | Tall Poppies | TP132 | 2:00 |
| Holland | Sonata Movt 3 | Alto Sax & Piano | Margery Smith | Viva Sax! | Tall Poppies | TP132 | 4:09 |
| Holland | Sonata Movt 4 | Alto Sax & Piano | Margery Smith | Viva Sax! | Tall Poppies | TP132 | 3:14 |
| Hosokawa | Vertical Time Study II | Tenor Sax, Piano & Percussion | Claude Delanlge | The Japanese Saxophone | BIS | CD890 | 11:35 |
| Houkom | Shadows | Alto Sax & Piano | William Street | hélioSax | Arktos | CD97018 | 7:34 |
| Hurel | Opcit | Tenor Sax | Marie-Bernadette Charrier | Marie-Bernadette Charrier | Octandre | OC931 | 9:47 |
| Husa | Elégie | Alto Sax & Piano | Arno Bornkamp | Hot-Sonate | Vanguard Classics | 99092 | 2:57 |
| Husa | Elégie et Rondeau - Elégie | Alto Sax & Piano | Lynn Klock | Vintage Flora | Open Loop | Open Loop 007 | 2:46 |
| Husa | Elégie et Rondeau - Rondeau | Alto Sax & Piano | Lynn Klock | Vintage Flora | Open Loop | Open Loop 007 | 5:27 |
| Husa | Rondeau | Alto Sax & Piano | Arno Bornkamp | Hot-Sonate | Vanguard Classics | 99092 | 4:54 |







