consumption can be saved as the torque application is being stopped when the third ignition due to an increase in the torque of the internal combustion engine 1 is detected after the torque increase command is inputted in step 206 for reference step 207 constitutes torque application start commanding means and step 210 constitutes torque application stop commanding means another embodiment will now be described referring to a flow chart illustrated in fig5 this second embodiment is designed to prevent an excessive reduction in the rpm of the internal combustion engine 1 at the end of the fuel cut off period in deceleration and to substitute the flow chart illustrated in fig4 in step 302 a judgement is formed based on the signal from an engine control unit not illustrated whether or not the fuel cut off is of such type that is performed when the vehicle is in deceleration and the rpm of the internal combustion engine 1 is equal to or more than the preset rpm if the judgement is negative the process jumps to step 102 and if the judgement is positive the rpm of the internal combustion engine 1 ne is read in step 303 next in step 306 a judgement is formed whether or not the rpm ne is smaller than the preset rpm neo at which fuel injection is to be resumed 650 rpm.