Abstract: In this paper, an upper bound solution model For asymmetrical rolling and the relationships between its parameters are presented. Based on this model, the parameters in asymmetrical rolling process such as the curuation of sheet and the distribution of reduction can be discussed with the minimization of the deformation power. The curling of sheet due to roll speed mismatch has been calculated, the agreement in results with experiments and finite element method demonstrated the efficiency of the method presented in this paper in investigating the parameters in asymmetrical rolling process.