Capon is a Norman French surname, from the Old French Chapon or Chapelain meaning a 'chantry priest'. The name ultimately derives from the Latin Capellanus. Notable people with the surname include:

Brecht Capon (born 1988), Belgian football player Edmund Capon (1940–2019), British-Australian art scholar John Capon (died 1557), Benedictine monk Laura Capon Fermi (1907–1977), Italian and American writer and political activist Paul Capon (1912–1969), British writer Robert Farrar Capon (1925–2013), American Episcopal priest and author Stephen Capon (1927–2017), English cricketer William Capon (1480–1550), Fellow of Jesus College William Capon (artist) (1757–1827), painter and scene designer