- Bobby Hackett
- Charlie Haden
- Dick Hafer
- Bob Haggart
- Al Haig
- Connie Haines
- Roy Haynes
- Corky Hale
- Edmond Hall
- Jim Hall
- Minor Hall
- Chico Hamilton
- Jeff Hamilton
- Jimmy Hamilton
- Scott Hamilton
- John Hammond
- Lionel Hampton
- Herbie Hancock
- John Handy
- Jake Hanna
- Ken Hanna
- Roland Hanna
- Jimmy Heath
- Percy Heath
- Tootie Heath
- Chuck Hedges
- Neal Hefti
- Luther Henderson
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- Jon Hendricks
- Woody Herman
- Al Hibbler
- Billy Higgins
- Bob Hardaway
- Bill Hardman
- Roy Hargrove
- Harlem Blues Band
- Billy Harper
- Herbie Harper
- Barry Harris
- Bill Harris
- Gene Harris
- Bob Havens
- Ritchie Havens
- Hamp Hawes
- Coleman Hawkins
- Erskine Hawkins
- Clancy Hayes
- Louis Hayes
- J.C. Heard
- John Heard
- Art Hillery
- Hi Lo's
- Earl Hines
- Milt Hinton
- Hiroshima
- Al Hirt
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- Johnny Hodges
- Billie Holiday
- Red Holloway
- Major Holley
- Christopher Holliday
- Bill Holman
- Homesick James
- John Lee Hooker
- Stix Hooper
- Elmo Hope
- Paul Horn
- Darnell Howard
- Freddie Hubbard
- Peanuts Hucko
- Steve Huffsteter
- Percy & Willie Humphrey
- Bobby Hutcherson
- Dick Hyman
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