Abstract: An electrically assisted or actuated continuously variable transmission (CVT) with a first pulley having a first pulley portion for fixed connection to an engine shaft and an axially movable second pulley portion for placement about the engine shaft. A mechanism for assisting a mechanically-actuated CVT includes a nut connected to the movable portion and an electric motor having a screw that is engaged with the nut. The nut is moved axially by rotation of the screw with respect to the nut, assisting mechanical actuators in changing axial spacing between the pulley portions. A variable actuator for actuating a CVT includes a pair of disks coaxially enagaged with the pulley portions, and a roller for contacting the disks at varying inclinations. An electric motor tilts the roller along the axis of rotation, causing the disks to rotate at differing rates to effect a change in axial spacing between the pulley portions.