Kirnon is a surname. Notable people with the surname include:

Conrad Henry Kirnon (1927–1994), known professionally as Connie Kay, American jazz and R&B drummer Hodge Kirnon (1891–1962), Montserratian scholar, historian, and literary critic Lucas Kirnon (born 2003), English and Montserratian footballer Sam Kirnon (born 1962), English cricketer Sarah Kirnon (born 1960s), West Indian chef