Based on the work of Pendry, a Partial wave method of combining Hartree approximation with Hartree-Fock approximation is proposed for calculating elastic scattering cross-section of low energy electron. That method not only save computer CPU time, but extend Pendry's to a few keV-eneryg region. The elastic scattering cross-sections of element Be, C, Al, Cu are calculated and compared to Rutherford cross-section. The present method has been applied to investigation of low energy electron scattering in solids. A flow chart of calculating elastic scattering cross-section of low energy electron is given.