A washing machine driving apparatus includes: an outer shaft 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 disposed with an air gap between the inner rotor and the outer rotor, The stator comprises: stator cores; a bobbin wrapped on the outer surface of each of the stator cores; a first coil wound on one side of each of the stator cores; and a second coil wound on the other side of each of the stator cores A first bearing and a second bearing are disposed on the outer circumferential surface of the outer shaft. The first bearing and the second bearing are mounted in a first bearing housing and a second bearing housing fixed to an outer tub.