H
- Scott Hamilton (born 1954), (tenor)
- John Handy, (born 1933), (alto)
- Everette Harp (born 1961)
- Billy Harper (born 1943), (tenor, alto)
- Joe Harriott (1928–1973), (alto)
- Eddie Harris (1934–1996), (tenor)
- Donald Harrison (born 1960), (alto)
- Antonio Hart (born 1968), (alto, soprano)
- Tubby Hayes (1935–1973), (tenor)
- Alfred Harth (born 1949), (tenor, soprano, alto, baritone)
- Coleman Hawkins (1901–1969), (tenor)
- Jimmy Heath (born 1926), (tenor)
- Ernie Henry (1926–1957), (alto)
- Joe Henderson (1937–2001), (tenor)
- Julius Hemphill (1938–1995), (alto, soprano, tenor)
- Woody Herman (1913–1987), (alto)
- Vincent Herring (born 1964), (alto)
- Warren Hill (born 1966), (soprano, alto)
- Nigel Hitchcock (born 1971)
- Johnny Hodges (1907–1970), (alto, soprano)
- Bendik Hofseth (born 1962), (tenor)
- Ron Holloway (born 1953), (tenor)
- Charlie Holmes (1910–1985), (alto)
- Paul Horn (born 1930), (alto)
- Lars Horntveth (born 1980), (tenor)
- George Howard (1956–1998), (soprano, tenor)
- Derek Humble (1932–1971), (alto)
Read more about this topic: List Of Jazz Saxophonists