The paper presents the possibility to apply the Finite Element Method for evaluation of stresses in the Ti+TiN, Ti+Ti(C_xN_1-x), Ti+TiC coatings obtained in the magnetron PVD process on the sintered high-speed steel of the ASP 30 type, taking into account their deposition conditions. Defined model of the tool coated with the coatings in the PVD process was verified by comparison with the results of computer simulation of stresses with the experimental results. Computer simulation of stresses was carried out in ANSYS environment, using the FEM method and the experimental values of stresses were determined basing on the X-ray diffraction patterns.