In this paper, the influence of friction resistance and mutual contact interaction on dynamical properties of the cam-tappet mechanism is analyzed. A dynamical model of the cam-tappet contact has been developed. Chosen results of numerical simulations of this model are presented for cases with and without oil lubrication in contact zones. Various phenomena accompanying the cam-tappet contact dynamics have been observed, e.g., change of the global direction of tappet rotation, local oscillation of these revolutions, changes of friction in function of frequency of the camshaft longitudinal vibrations. We confirm, that the growing amplitude of camshaft longitudinal vibration causes an increase in the tappet rotational speed, whereas its reducing to small values leads to stopping the tappet rotation.