Henry Finch

• Henry Finch (died 1625), English lawyer and politician, MP for Canterbury, and for St Albans
• Henry Finch (died 1761), British academic and politician, MP for Malton
• Henry Finch (priest), English ejected minister
• Henry Finch (cricketer), English cricketer and barrister
• Henry LeRoy Finch, American film director
• Henry Leroy Finch [Jr.], American scholar, professor of philosophy and pacifist organizer
• Henry [Lloyd Finch], member of the Mississippi legislature