Driving support ECU transmits a communication connection request to a help net center HNC when a driver of a vehicle has been determined to be in an abnormal state where the driver loses an ability to drive the vehicle, and when the communication connection to the help net center HNC has been established, the driving support ECU transmits the help signal (the positional information of the vehicle) and decelerates the vehicle at a constant deceleration to make the vehicle stop. On the other hand, when the communication connection to the help net center HNC has not been established, the driving support ECU makes the vehicle travel at a constant speed. Accordingly, it is possible to make the vehicle stop under a situation where the help net center HNC recognizes the vehicle position inside which the driver who has been determined to be in the abnormal state is.