English Meaning: The name Tony is an English baby name. In English the meaning of the name Tony is: Highly praiseworthy.' From a Roman clan name. This abbreviation of Anthony and its variants has been used since medieval times as an independent name.American Meaning: The name Tony is an American baby name.he name Tony is an English baby name. In English the meaning of the name Tony is: Highly praiseworthy.' From a Roman clan name. This abbreviation of Anthony and its variants has been used since medieval times as an independent name. American Meaning: