A first final target input rotation speed is calculated according to a throttle opening and a vehicle speed, and a second final target input rotation speed is calculated by applying an upper limit to the first final target input rotation speed. The upper limit is determined so as to reduce noise outside the vehicle. A second final target speed ratio is set from the vehicle speed and second final target input rotation speed, and a time constant of a speed ratio variation is determined from the vehicle speed and first final target input rotation speed. By transiently controlling the speed ratio variation using the second final target speed ratio and time constant thus obtained, an excessive increase of engine rotation speed is prevented while retaining a desirable feeling of acceleration when there is a kickdown operation of the vehicle.