A vehicular power-transmission control system comprises a continuously variable transmission CVT, which transmits the output of an engine E to wheels, a starting clutch 5, which controls the transmission of power in the continuously variable transmission, an electrical motor generator M, which can assist the engine in rotational drive, and a hydraulic pump P, which is connected to the output shaft of the engine. When the vehicle, which has come into a halt with the engine consequently stopped in an idling elimination control, is to be restarted, the power-transmission control system controls the electrical motor generator to rotate the output shaft of the engine, to which fuel supply is not allowed, thereby to drive the pump. Thereafter, when the starting clutch receiving a hydraulic pressure from the hydraulic pump starts its engagement, the power-transmission control system starts the operation of the engine.