Abstract: In order to improve the magnetic properties of permanent magnet films, based on the theory of micromagnetism, we have studied the magnetization properties of Ce_1.66Mg_1.34Co₃ and α″-Fe₁₆N₂ exchange coupled multilayer gradient films by using software OOMMF, and the influence of magnetic crystal anisotropy gradient on the properties of multilayer films systematically. We analyze the changes of remanence, coercivity, hysteresis loop and energy during magnetization reversal process. We find that the coercivity and residual magnetization of the films can be effectively increased by decreasing the anisotropic gradient of magnetic crystals or increasing the anisotropy difference at the interface, so as to improve the magnetic properties. A magnetic vortex state is found by calculating the magnetic moment distribution, and the generation of this magnetic vortex state is accompanied by the increase of system energy.