Abstract: Due to the axial uneven wear of rolls and the problem of shape control brought by uneven wear, a three-dimensional elastoplastic dynamic finite element model of the roll system with a strip was built. The contact state between the roils and the strip was analyzed. The relation between the contact state and the distribution of wear along the axis of the rolls was theoretically analyzed, on the basis of which the rolling theory with transverse uneven lubrication was provided. Simulation results show that under the premise of guaranteeing strip quality, the distributions of rolling force and friction force between the rolls and the strip are homogenized obviously by changing the transverse friction coefficient between the rolls and the strip. It is proved that transverse uneven lubrication has positive effect on the contact state between the rolls and the strip. Finally, the feasibility of the rolling theory with transverse uneven lubrication was discussed.