To accurately reflect a driver's intension of steering without driving to release of automatic stopping of an engine.

A vehicle is provided with a controller 34 having a function 35 for automatically stopping and restarting an engine according to the traveling condition of the vehicle. In this case, the vehicle is provided with a power- steering hydraulic pump 36 to be driven by an engine 31, and a means 37 for detecting the rotational position of a steering wheel. The controller 34 is provided with a function 38 for calculating the turning angle of the steering wheel from just before automatic stopping of the engine on the basis of the detecting means 37, a function for judging whether the steering operation without driving is performed or not on the basis of the turning angle of the steering wheel, and a function 40 for restarting the engine by releasing automatic stopping of the engine when the steering operation without driving is performed on the basis of the judged result.