A traction control system is associated with a vehicular brake system which can control braking force for respective individual driving wheel independently of each other on the basis of an average wheel slippage data. The average wheel slippage data is derived introducing weighing technology giving higher weight for wheel slippage on a driving wheel, on which occurring smaller wheel slippage in comparison with the other. The traction control performs control of application of braking force for respective driving wheel independently of each other so that wheel traction recovering efficiency at respective driving wheel can be optimized.