Abstract: The present invention allows providing a direct drive, which provides drive and traction to the breaking assembly of the vehicle in question, and it further allows the actuation thereof as a regenerative system during braking times, wherein said transmission system (1) comprises: a brake disc (3) having a toothing (10) on its perimetral edge, acting as a main gear; a brake caliper (4) coupled to the brake disc (3) and comprising at least one electric motor (30) assembled on said brake caliper (3); and wherein the at least one electric motor (30) has a secondary gear (31) in turn coupled to the cogging (10) of the brake disc (3) for the operation and/or deceleration thereof. According to another object of the invention, a vehicle incorporating said transmission system (1) is described.