'''Inniss''' is a surname. People with this name 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

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