An anti-rolling motion control system for an automotive vehicle is provided. This control system comprises shock absorbers each being variable of a damping coefficient within a range from softer to harder damping characteristics, a steering sensor for monitoring a steered angle of a steering wheel, and a rolling motion control unit. The rolling motion control unit is operable to derive steered angular velocity based on the steered angle of the steering wheel. The rolling motion control unit controls the shock absorbers so that the damping coefficients are modified to exhibit the harder damping characteristics when the steered angular velocity and the steered angle are greater than preselected first and second threshold values respectively for suppressing rolling motion of a vehicle body effectively while securing traveling stability.