Inniss is a surname. Notable people with the surname include:
Brandon Inniss (born 2004), American football player Clifford Inniss (1910–1998), Barbadian cricketer and judge Elton Anthony Carlisle Inniss (1947–2010), one of the Mangrove Nine Hettie Inniss (born 1999), British Caribbean artist Jennifer Inniss (born 1959), American long jumper and sprinter of Guyanese descent Probyn Inniss (born 1936), Governor of Saint Christopher-Nevis-Anguilla and Governor of Saint Christopher and Nevis Ryan Inniss (born 1995), English footballer