A vehicle traveling control apparatus includes a first setting unit and a correcting unit. The control target point setting unit sets a set position of a preceding vehicle ahead of an own vehicle in a vehicle width direction as a control target point of follow-up traveling for traveling while following the preceding vehicle. The steering control amount correcting unit corrects, on a basis of deviation between a target steering angle that brings the own vehicle to the control target point and an actual steering angle, an amount of a steering control that controls the own vehicle to the target steering angle which is a steering angle that brings the own vehicle to the control target point.