In the ink-average system of offset machine, the reciprocating motion of ink vibrator was supplied by the oscillating ink mechanism; ink vibrator does axial motion, and at the same time turns around its central axis, driving the ink distributing roller through friction. The model of ink distributing roller and ink vibrator was built by using ANSYS and different boundary conditions were added. The simulation was carried out to acquire the stress, deformation and movement of the ink distributing roller. The result showed that the magnitude of shear stress is constant, but its direction changes frequently; there is relative sliding between ink vibrator and ink distributing roller; and there is pressure stress in contact area and pulling stress near the contact area. The purpose was to provide reference for study of ink-average process and ink flow.