A new 4-D four-wing chaotic system is constructed by adding two linear state feedback terms to the four-wing chaotic system，which is more stable，reliable，and its circuit can be easily implemented. The basic properties of a new 4-D four-wing chaotic system are further analyzed. Finally, an analog circuit is designed to implement the new system, which shows a good agreement between numerical simulation and experimental results. The proposed system is important to some relevant engineering applications such as secure communications.