A washing machine driving apparatus includes: an outer shaft which is connected with a washing tub; an inner shaft rotatably arranged inside the outer shaft and connected with a pulsator; an inner rotor connected with the outer shaft; an outer rotor connected to the inner shaft; and a stator which is disposed with an air gap between the inner rotor and the outer rotor, wherein the outer shaft has one end the washing tub and the other end connected to the inner rotor and is directly connected between the washing tub and the inner rotor, and wherein the inner shaft has one end connected to the pulsator and the other end connected to the outer rotor and is directly connected between the pulsator and the outer rotor.