The nonlinear wave equation was solved with perturbation method.The dispersion equation and the cut-off frequencies of the high-order TE modes in nonlinear dielectric film waveguide were given in different order approximation. The dispersion properties, the variation of effective indices and the cut-off frequencies of modes with the peak power in the film were studied and two values of the wave number of a high-order mode for a power above the threshold were found.