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A theoretical model for the shift of ferromagnetic resonance (FMR) frequency by applying external magnetic field and electric field on magneto electric materials is proposed in this paper. This model is related to the geometry of YIG film and magneto electric(ME) constant of ferrite-piezoelectric layered materials. The insertion loss under different magnetic and electric field predicted by this model are quantitatively in good agreement with experimental results. According to this theoretical model, we found that the influence of the demagnetization field caused by the geometry of YIG film can not be ignored. Further more, we convert the electric field tuning on laminated ME materials into equivalent magnetic field tuning on ferrite layer, a numerical analysis model of microwave ME coupling filter including YIG/PZT (yttrium iron garnet/ lead zirconium titanate) layers is fabricated. For parallel magnetic field, simulation results are agreed well with experimental results. Then, according to this numerical analysis model, we predict the phenomenon of approximately linear magnetic tuning FMR frequency shift under perpendicular magnetic field.