Leydon is a surname. Notable people with the surname include:
Joe Leydon (born 1952), American film critic and historian John Leydon (1895–1979), Irish civil servant Mona Leydon (1915–2002), New Zealand swimmer Seamus Leydon (born 1942), Gaelic footballer Felicity Leydon-Davis (born 1994), New Zealand cricketer Oliver Leydon-Davis (born 1990), New Zealand badminton player Susannah Leydon-Davis (born 1992), New Zealand badminton player