| Josh Hutcherson | Pop | 1 |
| Jim Hill | PopChurch music | 1 |
| Hirokazu Tanaka | Electronic musicSoundtrack | 1 |
| Sheldon Harnick | Soundtrack | 3 |
| HELENA | Pop | 3 |
| HYDY | Pop | 1 |
| Sam Haft | SoundtrackPopPop RockRock | 9 |
| Deedee Magno Hall | Soundtrack | 1 |
| Howard Blake | Soundtrack | 1 |
| Herman Hupfeld | SoundtrackJazz | 1 |
| Johnny Huynh | Pop | 4 |
| Henry Smith | PopChurch music | 1 |
