The name Antonio is an English baby name. In English the meaning of the name Antonio is: Highly praiseworthy. From a Roman clan name. In the 17th century, the spelling Anthony was associated with the Greek anthos meaning flower. Italian Meaning: The name Antonio is an Italian baby name.In Italian the meaning of the name Antonio is: beyond praise'. Shakespearean Meaning: The name Antonio is a Shakespearean baby name. In Shakespearean the meaning of the name Antonio is: Two Gentlemen of Verona' Father to Proteus.he name Antonio is a Spanish baby name. In Spanish the meaning of the name Antonio is: Beyond praise. American Meaning: The name Antonio is an American baby name. In American the meaning of the name Antonio is: Beyond praise.