A correct understanding of the stock market volatility and its forecast for the stable development of China's stock market is under a very important significance. In a fully defined system produced a very complex movement changes, which called chaos. The research shows that there are chaotic characteristics in the stock market, and the Chinese stock market has a chaotic system with fractal dimension structure. The primary goal of this research is tantamount to predict the volatility of the stock market. This paper uses one-rank local-region method and the Lyapunov exponent prediction model which are based on Chaotic Prediction Model. The phase space is constructed according to the characteristics of the Lyapunov index, and the Shanghai Composite Index is predicted based on the maximum Lyapunov exponents.