In an automatic speed ratio control system for a stepless transmission of an automotive vehicle, having a desired value signal generator means which produces a desired engine speed signal which corresponds to a throttle opening for controlling operation of an engine on the automotive vehicle, a detector means for producing a signal indicative of operation of the engine, a control signal generator means for comparing the signal from the detector means against the desired value signal from the desired value signal generator means to generate a deviation signal in accordance with a deviation therebetween and a controller means responsive to the deviation signal from the control signal generator means to change a speed ratio of the stepless transmission, said means comprising an integration servo control system further including means for producing a differential signal indicative of a differential or pseudo-differential of a throttle opening during the time the throttle opening increases, the differential signal being added in opposing relationship with the desired value signal from the desired value signal generator means or the deviation signal from the control signal generator means.