A double-drive transmission washing machine and method comprising: fixedly connecting an input part of a speed reduction mechanism to a power part for providing rotational driving power; fixedly connecting a spinning output part of the speed reduction mechanism to a spin tube of the washing machine; connecting a agitating output part of the speed reduction mechanism to a wash shaft of the washing machine; by means of connecting the agitating output part to the input part, the agitating output part revolves around an axis of the power part; and by means of meshing connection between the spinning output part and the agitating output part, the spinning output part and the agitating output part are interacting with each other, but rotate separately drive the wash shaft and the spin tube to rotate individually. This washing machine has the rotation speed of the wash shaft vary according to the washing load.