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Composite material technology has a great potential for development of new insulating materials. By use of computer simulation method to study the dielectric properties of composite material can save a lot of time and material resources. In this paper we have studied the dielectric properties of electric field grading non-linear composites through computer simulation and verified them with experimental studies. For inorganic filler, a mesoscopic scale computer simulation method which uses finite element technique is used to study dielectric properties After transient FEM simulation under AC voltage, Least-squares method is adopted to decompose the total current into resistive current and capacitive current according to applied macro-field strength. The simulation results are in agreement with experimental results.