Cony is a surname. Notable people with the surname include:
Carlos Heitor Cony (1926–2018), Brazilian journalist and author Edward R. Cony (1923–2000), American journalist and newspaper executive Joseph S. Cony (1834–1867), United States Navy officer Samuel Cony (1811–1870), American politician, 31st governor of Maine William Cony (died 1707), British navy captain
See also Coney (disambiguation), which includes a list of people with the surname