The electron acceleration based on the inverse multi-photon nonlinear Compton scattering in the extra-intense stationary laser field is studied by using an inelastic collision model of electron with a multi-photon group. The results show that the Landau course electron before the inverse multi-photon nonlinear Compton scattering in the extra-intense stationary laser field are not hot electron, but electron in an excited state. When the frequency of the coupling optical field equals the frequency of the electron in an excited state, the inverse multi-photon nonlinear Compton scattering take place and put out the high γ-ray. But, the probability of the high γ-ray is less than that of the low γ-ray. When the electron is captured by the extra-intense stationary laser field, a great acceleration energy can be obtained by the electron.