In the present work the pressure rolling treatment has been modelled by a direct stationary method which gives the stabilized mechanical state after complete rolling. One important input to the model is the pressure distribution at the contact between the roller and the sample. Due to the conforming geometries of the bodies in contact it is found that the pressure distribution differs from the one calculated with the Hertz theory. The numerical outputs from the pressure rolling model have been compared to experimental data, i.e. the residual stresses measured by X-ray diffraction. A good agreement between experimental and numerical results is obtained for the penetration depth and the residual stress prof It is found that friction has a strong influence on the surface residual stress.