A vehicle traveling control apparatus applied to a vehicle comprising: a shift lever; drive wheels; a driving force supplying device for supplying, to the drive wheels, a driving force for traveling the vehicle; and a braking force applying device (41, 42, 51) for applying, to the vehicle, a braking force for braking the vehicle, the vehicle traveling control apparatus comprising an electric control unit (10, 30, 40, 50) configured: to continuously determine whether or not a driver of the vehicle is under an abnormal state that the driver loses an ability of driving the vehicle; and to execute a vehicle stop control for stopping the vehicle by causing the braking force applying device to apply the braking force to the vehicle after the electric control unit (10, 30, 40, 50) determines that the driver is under the abnormal state, to perform a first driving force limiting for limiting a supply request driving force (TQdreq) requested for the driving force supplying device to supply to the drive wheels on the basis of a driver request driving force (TQd) requested by the driver to a value equal to or smaller than a first driving force smaller than the driver request driving force (TQd) and execute a stopped state maintaining control for maintaining the vehicle at a stopped state by performing a continuous braking for continuously applying the braking force to the vehicle from the braking force applying device (41, 42, 51) when the electric control unit (10, 30, 40, 50) stops the vehicle by the vehicle stop control; characterized in that the electronic control unit is further configured: to stop the first driving force limiting when a stop of the stopped state maintaining control is requested during an execution of the stopped state maintaining control while the shift lever is set at any of a parking range and a neutral range; and to stop the first driving force limiting and perform a second driving force limiting for limiting the supply request driving force (TQdreq) to a value equal to or smaller than a second driving force which is equal to or larger than the first driving force and is smaller than the driver request driving force (TQdreq) when the stop of the stopped state maintaining control is requested during the execution of the stopped state maintaining control while the shift lever is set at a range other than the parking and neutral ranges. a shift lever; drive wheels; a driving force supplying device for supplying, to the drive wheels, a driving force for traveling the vehicle; and a braking force applying device (41, 42, 51) for applying, to the vehicle, a braking force for braking the vehicle, to continuously determine whether or not a driver of the vehicle is under an abnormal state that the driver loses an ability of driving the vehicle; and to execute a vehicle stop control for stopping the vehicle by causing the braking force applying device to apply the braking force to the vehicle after the electric control unit (10, 30, 40, 50) determines that the driver is under the abnormal state, to perform a first driving force limiting for limiting a supply request driving force (TQdreq) requested for the driving force supplying device to supply to the drive wheels on the basis of a driver request driving force (TQd) requested by the driver to a value equal to or smaller than a first driving force smaller than the driver request driving force (TQd) and execute a stopped state maintaining control for maintaining the vehicle at a stopped state by performing a continuous braking for continuously applying the braking force to the vehicle from the braking force applying device (41, 42, 51) when the electric control unit (10, 30, 40, 50) stops the vehicle by the vehicle stop control; characterized in that the electronic control unit is further configured: to stop the first driving force limiting when a stop of the stopped state maintaining control is requested during an execution of the stopped state maintaining control while the shift lever is set at any of a parking range and a neutral range; and to stop the first driving force limiting and perform a second driving force limiting for limiting the supply request driving force (TQdreq) to a value equal to or smaller than a second driving force which is equal to or larger than the first driving force and is smaller than the driver request driving force (TQdreq) when the stop of the stopped state maintaining control is requested during the execution of the stopped state maintaining control while the shift lever is set at a range other than the parking and neutral ranges. to stop the first driving force limiting when a stop of the stopped state maintaining control is requested during an execution of the stopped state maintaining control while the shift lever is set at any of a parking range and a neutral range; and to stop the first driving force limiting and perform a second driving force limiting for limiting the supply request driving force (TQdreq) to a value equal to or smaller than a second driving force which is equal to or larger than the first driving force and is smaller than the driver request driving force (TQdreq) when the stop of the stopped state maintaining control is requested during the execution of the stopped state maintaining control while the shift lever is set at a range other than the parking and neutral ranges.