English Meaning: The name Alan is an English baby name. In English the meaning of the name Alan is: Fair; handsome. Famous Bearer: U.S. actor Alan Alda. American Meaning: The name Alan is an American baby name. In American the meaning of the name Alan is: Fair; handsome. Famous Bearer: U.S. actor Alan Alda.he name Alan is a Celtic baby name. In Celtic the meaning of the name Alan is: Harmony, stone, or noble. Also fair, handsome. Originally a saint's name, it was reintroduced to Britain during the Norman Conquest, remained popular throughout the Middle Ages, and was revived in the 19th century. See also Allen.