the effect of the magnetic field on the non-linear electric susceptibility for three-level atom when it interacts with laser beams is presented in this study. With two laser beams the electric susceptibility was performed in two cases: first with equal frequency and intensity for both laser beams, where the other one was with different frequency and equal intensity for them. By solving the equations of motion for both cases we can get the nonlinear electric polarizability, and then the effect of the magnetic field on nonlinear electric susceptibility is studied for the systems under the study. The results are compared in both cases.