Two major roles of the traction control system (TCS) are to guarantee the acceleration performance and directional stability. This paper proposes a new slip controller which uses the brake and the throttle actuator simultaneously. To avoid measurement problems and get a simple structure, the brake controller is designed using Lyapunov redesign method and the throttle controller is designed using multiple sliding mode control. Through the hybrid use of brake and throttle controllers, the vehicle is insensitive to the variation of the vehicle mass, brake gain and road condition and can achieve required acceleration performance. For the directional stability, a new method to measure the mixture of yaw rate and lateral acceleration with the speed difference of non-driven wheels is proposed. Using this measurement, the controller imposes individual pressure to the driven wheels and can maintain stability in the cornering or the lane change on the slippery road. Proposed method is validated with simulations based on 15 DOF passenger car model.