This work, deals with the effect of various Cu/LiF, Cu/MgO, and Cu/Si coated systems on the change in the plasticity index H/E and the resistance index H³/E² under indentation in a wide range of loads P_max = 5–900 mN. The main parameters of elasticity, strength and plasticity were determined, as well as the values of H/E and H³/E². The general and specific features of the coated systems deformation under the action of a concentrated load were revealed. The deformation structure of the coated systems was examined at the dislocation level, which made it possible to establish the response mechanism of the CSs to the action of an external load and to explain the specific nature of the plastic and strength properties of the composite systems of “soft film/soft substrate” and “soft film/hard substrate” types.