Abstract: Based on the double well potential theory and Monte Carlo random simulation method, the special dielectric properties, namely the residual polarization and fast relaxation phenomena, of polymeric composites filled with nano-particles are simulated using the dipole system of different constitutions. It is shown that the dipole system can simulate different microscopic constitutions of dielectric materials, and its response to applied stimulus can characterize dielectric properties of materials, and the iteration time needed for the system to stabilize can represent the polarization relaxation velocity of dielectrics under the electrical field. This simulation method is simple and effective for material property research, and it may help developing new materials with special properties.