Capon is a surname. Notable people with the surname include:
Brecht Capon (born 1988), Belgian football striker
Edmund Capon (born 1940), art scholar
John Capon (died 1557), Benedictine monk
John Capon (cricketer), English cricketer during the 1740s and 1750s
Robert Farrar Capon (1925–2013), American Episcopal priest and author
William Capon (1480–1550), Fellow of Jesus College
William Capon (artist) (1757–1827), painter and scene designer