Abstract: The precision of gauge control of hot-rolled strip is directly affected by the calculating precision of rolling force model, where the rolling pressures in the models are mostly decomposed and become the product of the influence coefficient in stress state and resistance to deformation. A high-precision rolling force prediction model was developed choosing Misaka Yoshisuke formula as the model of influence coefficient in stress state, which conforms well with Simon's formula, with the effects of residual strain considered. The influences of residual strain on the rolling force action on carbon steel and alloy steel were analyzed to give a calculation model for the residual strain of tandem hot strip rolling mill. The application results showed that the rolling force model has high prediction precision to satisfy the on-line requirements.