The vehicle control apparatus comprises a sensor to detect a turning movement physical quantity, an acceleration-deceleration device, a control unit, and a device to obtain road shape information representing a shape of a road at a position that is away from a vehicle by a predetermined distance. The unit determines that a first control start condition becomes satisfied when a magnitude of the physical quantity exceeds a first value while the curved road has not been determined to be present based on the road shape information, to perform an acceleration-deceleration control for making the vehicle run at a target speed depending on a curvature of the road. The unit determines that a second control start condition becomes satisfied when the magnitude of the physical quantity exceeds a second value smaller than the first value while the curved road has been determined to be present to perform the acceleration-deceleration control.