Using the multi-photon nonlinear Compton scattering model and transfer matrix method，the influences of Compton scattering on band gaps of TE wave for the one-dimensional ternary magnetized plasma photonic crystals are studied.The results show that the increased widths of the band gaps and transmission peak values of the left circle polarization wave and right circle polarization wave are decreased 0.1 GHz and 0.21 GHz by Compton scattering along with the increasing of the plasma frequency.The movement of the band central frequency to the high frequency area is 0.5 GHz.The influences to the band gaps widths of the left circle polarization wave and right circle polarization wave take place by Compton scattering along with the increasing of the plasma collision frequency.The tuning effect to the band gaps of the left circle polarization wave and right circle polarization wave take place by Compton scattering along with the increasing of the plasma circle round frequency，filling index，light incident angle and relative dielectric constant.