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. A terminating control adjustment device is provided for adjusting the braking force control devices to continue the first braking force being applied, until the second braking force is initiated to be applied, when the vehicle is turned to the one direction, and then to the other direction.