A motor damping structure for an actuator device includes a motor housing and a casing. The motor housing includes a drive motor therein. The casing includes an upper actuator case and a lower actuator case to accommodate the motor housing therebetween, the casing including a motor support section formed integrally in at least one of the upper actuator case and the lower actuator case to support the drive motor by contacting an outside surface of the motor housing. The motor support section has an elastic contacting member protruding from the at least one of the upper actuator case and the lower actuator case to contact one of an upper slanted surface and a lower slanted surface of the motor housing.