A driving support apparatus of a vehicle supports driving of the vehicle, the vehicle includes a rudder angle varying device capable of changing a relative relation between a steering angle and a rudder angle. The driving support apparatus includes a following control device for controlling the rudder angle varying device such that the vehicle follows a target driving route; a steering angle specifying device for specifying the steering angle; and a judging device for judging whether or not overriding performed by a driver takes place on the basis of the specified steering angle and a reference steering angle which is the steering angle in making the vehicle follow the target driving route. The following control device stops the vehicle following for the target driving route if it is judged that the overriding takes place.