Cosmo \c(o)-smo, cos-mo\ as a boy's name is of Italian and Greek origin, and the meaning of Cosmo is "order, organization, beauty". Italian form of Cosimo (Greek). Saint Cosmos, a martyr, was patron saint of the Italian city of Milan, and the name was further spread there by the fame of Cosimo de' Medici, Grand Duke of Tuscany and one of the chief patrons of the Italian Renaissance. His friend the Duke of Gordon took the name to Britain in the 17th century. Now also the name of an American soccer team.