Flatness and profile are important quality indexes of strip.Combining the influence function method to solve the elastic deformation of roll system with the variational method to solve the lateral flow of metal,the flatness and profile of the strip during cold continuous rolling were simulated.The B3 spline function was used to analogize the lateral distribution of strip thickness.The transverse distributions of the exit thickness and the front tension stress for each pass were obtained.Compared with the measured results,it is proved that using the spline function to analogize the lateral distribution of strip thickness can improve the calculation accuracy of flatness and profile largely. Flatness and profile are important quality indexes of strip. Combining the influence function method to solve the elastic deformation of roll system with the variational method to solve the lateral flow of metal, the flatness and profile of the strip during cold continuous rolling were simulated. B3 spline function was used to analogize the lateral distribution of strip thickness.The transverse distributions of the exit thickness and the front tension stress for each pass were obtained. Compared with the measured results, it is proved that using the spline function to analogize the lateral distribution of strip thickness can improve the calculation accuracy of flatness and profile largely.