According to a roll increasing tendency estimation apparatus, a state variable is calculated in response to magnitude of a rolling moment of the vehicle, to provide a roll input magnitude, and a state variable is calculated in response to variation in time of the rolling moment, to provide a roll input velocity. A roll increasing tendency of a vehicle is estimated on the basis of a relationship between the calculated roll input magnitude and the calculated roll input velocity. On the basis of a relationship between the roll input magnitude and roll input velocity, at least one of a braking force control and a driving force control may be performed, to restrain the roll increasing tendency of the vehicle.