According to the model of the multi-photon nonlinear Compton scattering,the influence of the multi-photon nonlinear Compton scattering on the modulation instability in the magnetized plasma has been studied.A new mechanism of the modulation instability formed by the incident light and the multi-photon nonlinear Compton scattering was given out,the nonlinear dispersion equation and control equation were revised,and the expression form of the time rise rate of the modulation instability of the cou...