<p>The existence of significant core-surface temperature differences in the strips during the rolling process in the endless strip production line leads to low accuracy in calculating the hot rolling force model assuming uniform temperature. This paper divides the deformation zone of strips into cells along the thick and the roll direction considering the non-uniform distribution of temperature, strain, strain rate in the thick direction cell of the strips, and the change of deformation resistance in the roll direction cell of strips. Then this study separately establishes the temperature matrix, strain matrix, and strain rate matrix on the "thick direction-roll direction" of strips, and constructs a deformation resistance calculation model based on the matrix cell. Further, a model for calculating rolling forces applicable to this production line was derived based on the Orowan equilibrium differential equation. The accuracy of the rolling force model and temperature variation patterns of the thick-directional units of the rolled parts during rolling were verified by hot rolling simulation experiments on a strip with an embedded block of the same material. Take an endless strip production line in China as an example to carry out simulation calculations of Q235 material. The results show that the average calculation error of the model built in this paper is 4.4%. Simulation and error analysis of multiple materials and multiple specifications of strip steel show that the prediction accuracy of the model in this paper meets the requirements of the production line, which provides theoretical support for the formulation and optimization of the rolling process of this production line.</p>