A control apparatus of a vehicle is provided. In the control apparatus, an unable-to-drive state of the driver of the vehicle is detected or determined. The unable-to-drive state is a state where the driver is unable to drive the vehicle. When the emergency that the driver has become the unable-to-drive state is detected or determined, the detection or determination result is notified to the outside. A leading vehicle which is adapted to leading the vehicle based on the notification, is recognized. Automatic follow-up running control is performed wherein the vehicle is made to automatically follow the leading vehicle.
