The motion of a ring pack on a thin oil film covering a cylinder liner has been analysed. In contrast to the previous paper [8], which considered only hydrodynamic phenomena, in the present paper a mixed lubrication case is also taken into account. Equations describing the mixed lubrication problem based on the empirical mathematical model formulated in works of Patir, Cheng [5], [6] and Greenwood, Trip [2] have been combined and used in this paper. Results of numerical simulations of this phenomenon have been presented. The model of ring motion considered takes the following phenomena into account: hydrodynamic and contact forces, spring and gas forces and the local motion of each ring in piston grooves. Differences between the motion of the ring on a thick and thin oil film are analysed and discussed.