The article presents the results of experimental investigations and simulation analyses regarding the potential for partial reduction or complete elimination of the stick-slip phenomenon in sliding motion through the introduction of forced tangential longitudinal vibrations into the contact zone of the friction pair, with precisely defined parameters such as amplitude and frequency. An original analytical model is presented, enabling the selection of optimal parameters of the forced vibrations, under which the stick-slip phenomenon for a given friction pair can be reduced or completely eliminated. The investigations were carried out for three friction pairs comprising C45 steel, GGG40 cast iron, and polytetrafluoroethylene (PTFE), characterized by distinctly different mechanical properties. A very good agreement was obtained between the results of experimental tests and model analyses, demonstrating accurate modeling of frictional phenomena in the contact zone of the friction pair during sliding motion using the adopted computational algorithm.