The invention discloses a barreling wheel and a design method thereof. The barreling wheel is used for carrying out gear grinding finish machining on a gear surface of a quenched barreled gear, the barreling wheel comprises a disc body and gear tooth parts which extend in the circumferential direction of the disc body and are used for barreling of the barreled gear; multiple gear teeth used for being externally engaged with or internally engaged with the barreled gear are arranged on the gear tooth parts and are evenly arranged in the circumferential direction of the disc body, the section ofeach gear tooth part is in an umbrella or cylindrical shape, and the faces of the gear teeth are covered with hard material coatings. According to the barreling wheel and the design method thereof, the made barreling wheel is high in machining precision for the tooth-shaped gear face of the quenched gear, can adapt to machining of various gears and is high in generality.