It is desirable to provide a vehicle traveling control apparatus that makes it possible to suppress an unnecessary behavior of an own vehicle caused by a behavior of a preceding vehicle, during traveling while following the preceding vehicle. When the preceding vehicle is the vehicle smaller than the own vehicle, the dead zone setting unit 103 may set a steering control dead zone. The steering control amount correcting unit 104 may set a correction coefficient for correcting steering control amount for the target steering angle based on the deviation between a target steering angle and an actual steering angle. When deviation between the center point of the own vehicle and the control target point is within the dead zone, the dead zone setting unit may keep the steering amount of the own vehicle without correction. When the vehicle deviates from the dead zone and travels in a deflection manner, the correction coefficient corrects the steering control amount for the target steering angle to suppress the unnecessary behavior of the own vehicle caused by the behavior of the preceding vehicle.