Abstract: A systematic numerical analysis was carried out with respect to the thermal elastohydrodynamic lubrication of the finite slide/roll line contact of a crown-profiled roller operating at a maximum Hertz pressure up to 1.04 GPa, by making use of multilevel gridding technique and Eyring rheology model in the velocity vector direction. It was found that the height of the pressure spike and the thermal effect remarkably decreased with the increase of the non-Newtonian effect, while the film thickness slightly increased. This indicated that the non-Newtonian effect led to a positive influence on the fatigue life of the finite line contact frictional pair. At the same time, it was also found that the non-Newtonian effect almost had no influence on the edge effect. Therefore, it was suggested to carry out the crowning design by mainly focusing on the geometrical generatix of the finite line contact frictional pair.