In an apparatus for controlling the braking force applied to the wheels of a vehicle, the braking force required for the vehicle is calculated according to a brake pedal depression amount and the weight of the vehicle. This braking force is allocated to the wheels, according to static loads acting on the wheels which vary according to the vehicle loading conditions. Alternatively, the forward/backward acceleration of the vehicle and sideway acceleration of the front and rear axles are detected, dynamic loads acting on the wheels are calculated from the static loads and these accelerations, and the braking force is allocated according to these dynamic loads. Preferably, the roll angles of the front and rear axles are respectively detected, and the detected sideways accelerations are corrected based on these angles. By way this braking force control, braking force can be optimized according to the loading conditions in commercial vehicles, such as trucks, where wheel load conditions largely vary.