This paper presents a novel keyed one-way Hash function based on a chaotic dynamic S-Box together with traditional one-way Hash function construction. The proposed approach can give a chaotic Hash value by means of the look up table of functions and chaotic dynamic S-Box. Compared with the existing chaotic Hash functions, this method improves computational performance of Hash system by using the chaotic dynamical S-Box substitution in place of iterating the original message directly in chaos system. Theoretical and experimental results show that the proposed method has strong one way property, large key space, sensitivity to initial conditions and chaotic system's parameters.