An automatic dual clutch transmission includes an input clutch which selectively connects a prime mover to an electric motor. The electric motor, in turn, is connected to the inputs of a pair of coaxial friction clutches. Each of the coaxial outputs of the friction clutches drives an input gear with meshes with a pair of gears, one of which is associated with each of a respective pair of layshafts or countershafts. On each countershaft, between the pair of gears driven by the outputs of the two clutches, are a pair of synchronizer clutches which selectively synchronize and connect one of the two gears to the associated countershaft. A similar arrangement of a second pair of gears separated by synchronizer clutches connects the countershafts through a selected gear to a pair of output gears coupled to and driving a differential cage or spool.