A position of a head of an occupant from an instrument panel, for example, of a vehicle is measured with a predetermined period of time and the position of the head after a predetermined time is estimated from the measured position, whereby an ignition
signal is supplied to a
detonator at a suitable timing determined by the estimated position thereby to inflate an air bag. The distance of the head of the occupant from the instrument panel is divided into an inflation suppression area, an inflation area without timing
delay and an inflation area with timing
delay. When it is determined that the head of the occupant locates in the inflation area with timing
delay, the time point at which the head shifts to the inflation area without timing delay is estimated and the air bag is inflated on the basis of the estimated time point.