Abstract: For the plates containing not a few alloying elements the calculation error of rolling force sometimes reaches 30% or higher if the TMCP rolling regime is adopted. Based on the conventional model of resistance to deformation, the temperature is taken as a key influencing factor on the resistance to deformation, thus obtaining the temperature range affecting the residual strain. Then, the influence of residual strain on rolling force is analyzed so as to develop a relevant mathematical model for engineering calculation. Its on-line applications in Shougang Plate Rolling Mill proved that the resistance to deformation is calculated to the accuracy of 7% with the new model used.