Curcio is an Italian surname. Notable people with the surname include:

Alessio Curcio (born 1990), Italian football player Anthony Curcio (born 1980), American convicted criminal and motivational speaker Emanuele Curcio (born 1953), Italian football player Fabrizio Curcio (born 1966), Italian government official Felipe Curcio (born 1993), Brazilian football player Fernando Curcio (born 1981), Uruguayan football player Frank Curcio (1912–1988), Australian rules footballer Gus Curcio (born 1951), American businessman Juan Curcio (1551–1628), Belgian gunpowder manufacturer Maria Crocifissa Curcio (1877–1957), Italian religious sister Maria Curcio (1918 or 1919–2009), Italian classical pianist Michael Curcio (born 1982), American politician Mike Curcio (born 1957), American linebacker Pat Curcio (born 1973), Canadian ice hockey coach Renato Curcio (born 1941), Italian left-wing terrorist Roberto Curcio (1912–1992), Italian pentathlete Vincenzo Curcio (born c. 1960), Italian Mafioso