Abstract: Based on the existing Chen-like system, a new Chen-like chaotic system was constructed by introducing a third term.The existing Chen like system was cascaded with the Chen like system constructed. The Chaotic random number generator based on the cascade system was designed, and the post-processing methods of different random number sequences were discussed.The results show that the new Chen-like system with cubic terms presents typical chaotic characteristics, with ideal maximum Lyapunov exponents, more balance points and more complex structures. The random number sequences generated by chaotic random number generators based on cascaded systems pass the NIST test, which proves the effectiveness of the random number generation method.