A vehicle traveling control apparatus of the invention stops a vehicle by causing a braking force applying device to apply a braking force to the vehicle after determining that a driver is under an abnormal state. When a stop of a control for maintaining a vehicle at a stopped state is requested while a shift lever is set at a range other than parking and neutral ranges, the apparatus limits a driving force requested for a driving force supplying device to supply to drive wheels, to a value smaller than a driver's requesting driving force.