Responsive to braking, a CPU of a driving assist apparatus calculates an average deceleration of the vehicle and then calculates a braking distance. The CPU further calculates a final position at which the vehicle will come to a stop, on the basis of the braking distance. The CPU next activates an assist display for display a map including, superimposed thereon, the route to the final position and an arrival indicator indicating the stop (final) position of the vehicle.