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.Celtic Meaning: The 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.he 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. Celtic Meaning: The name Alan is a Celtic baby name. In Celtic the meaning of the name Alan is: Harmony, stone, or noble. Also fair, handsome.