We have investigated the excitation process of hydrogen-like multicharged ions by impact of different charged projectiles such as electrons, positrons, protons, and antiprotons. The universal scaling behaviour for the differential and total cross sections is deduced within the framework of the non-relativistic perturbation theory, taking into account the one-photon exchange diagrams. Special emphasis is laid on the description of the reaction in the near-threshold energy domain, which requires the accurate account for interactions between all particles in the colliding system.