H
| Bob Haggart | 17 programs |
| Lionel Hampton | 17 programs |
| Bob Havens | 15 programs |
| Chuck Hedges | 8 programs |
| Duke Heitger | 14 programs |
| Milt Hinton | 13 programs |
| Erik Hokkanen | 1 programs |
| Linda Hopkins | 8 programs |
| Peanuts Hucko | 1 programs |
| Dick Hyman | 5 programs |
| Earle Hyman | 1 programs |