Coury is a surname. Notable people with the surname include:
Al Coury (1934–2013), vice-president of American record label Capitol Records Anny Buchstab Coury, Ukrainian-Jewish petroleum geologist Dick Coury (1929–2020), American football coach Fred Coury (born 1964), American musician Gabriel Coury (1896–1956), British Army officer and Victoria Cross recipient Steve Coury (born 1957), American football player and coach Tino Coury (born 1988), American singer, songwriter, producer Mike Courey (1959–2007), American football player