A rolling motion stability control apparatus restrains a roll increasing tendency of a vehicle, with each wheel of the vehicle being braked by a wheel brake device. A first braking force control device is provided for applying a first braking force to the wheel, when the vehicle is turned to one direction. A second braking force control device is provided for applying a second braking force to the wheel, when the vehicle is turned to the other direction. References for starting controls of the first and second braking force control devices are set to be of predetermined values, respectively. The reference for starting the control of the second braking force control device is modified to be smaller than a predetermined value, when the vehicle is turned to the one direction.