According to the rolling slippage of a rolling mill drive train with blackash at the palm end of roller, the present authors have established a non-linear mechanical model and its corresponding mathematical model, and used the Runge-Kutta method to solve the response of the system. Based on the analysis of the model, found that the slippage of rolling mill might cause the systempsilas chaotic behaviors. The research provided a theoretical foundation to control and analyze roll slippage.