Abstract: It is in the middle of 70's FEM has been used to obtain numerical solutions of atom and molecule problems. Little as the research work done is, it is shown that FEM is effective for one and two dimensions problems. But at least now it is impossible to use to problems of atom with n (≥ 3) electrons. A method (HFFEM) combined FEM with HF method is advanced and by using HFFEM the energy of the He-like ion ground state and mean value n> is computed on DP58. Compared the energy value obtained with one measured, the error lies between 0.3% and 0.03%. The HFFEM may be extended to applied to various atom and molecule problems.