A braking force control apparatus for use with an automotive vehicle supported on road wheels each of which has a wheel cylinder for applying a braking force to the corresponding road wheel in response to a fluid pressure introduced thereto. The fluid pressure is controlled by a solenoid valve which is movable between open and closed positions in response to a control signal having a variable duty ratio. The duty ratio of the control signal is changed at predetermined intervals of time to move the solenoid valve in a plurality of steps toward the closed position.