Cosme is a given name and surname. Notable people with the name include:

Given name Cosme (footballer) (1927–2011), Spanish footballer Cosme Argerich (1758–1820), Argentinian military physician Cosme Correa ( 1540s), Portuguese nobleman and colonizer of Bombay Cosme Damián de Churruca y Elorza (1761–1805), Spanish nobleman and soldier Cosme Damião (1885–1947), Portuguese football player and coach Cosme de Torres (1510–1570), Spanish Jesuit missionary Cosme Delgado (died 1596), Portuguese Renaissance composer Cosme García Sáez (1818–1874), Spanish inventor Cosme Martins (born 1959), Brazilian painter Cosmé McMoon (1901–1980), American pianist and composer Cosme Prenafeta (born 1971), Spanish volleyball player Cosme Saavedra (1901–1967), Argentine cyclist Cosme San Martín (died 1906), Chilean painter Cosme Rivera (born 1976), Mexican boxer Cosme Torres Espinoza ( 2000s), Cuban diplomat Cosmé Tura (1430–1495), Italian painter Cosme de Villiers (1683–1758), French bibliographer

Surname Eusebia Cosme (1908–1976), Afro-Cuban poetry reciter and actress Fernando Nascimento Cosme (born 1983), Brazilian futsal player Gilbert Cosme (born 1975), Puerto Rican wrestler better known by his ring names, El Mesías and Ricky Banderas Laura Cosme (born 1992), Colombian footballer Niccolo Cosme (born 1980), Filipino photographer Pierre Cosme (born 1965), French historian Wilberto Cosme (born 1984), Colombian professional footballer Wilma Cosmé (born 1966), a Puerto Rican-American singer better known by her stage name Sa-Fire