Controlling system for vehicle with continuously variable transmission

A controlling system of a vehicle with a continuously variable transmission, which can render a sufficient accelerating feeling in responsive to a driver's requirement. A controller, upon judgment of an acceleration requirement, sets a target drive force higher than the target drive force upon normal calculation upon normal operation of an accelerator pedal, and sets a target rotation speed upon acceleration higher than the target rotation speed upon the normal operation and increasing with an increase of the vehicle speed by a predetermined gradient. The speed change ratio of the continuously variable transmission and the output torque of the engine are controlled such that the set target drive force is achieved, and an input shaft rotation speed of the continuously variable transmission coincides with the target rotation speed upon the set acceleration. Thus upon acceleration, the target drive force and the output rotation speed of the drive source increase.