Starting from the formalism of second quantization,choosing generalized Laguerre polynomials multiplied by rlexp(-alr) as the complete set of the single electron radial function,where al is a variation parameter depending on the orbital angular momentum l,the energy and wave function for 1S, 3S, 1P, 3P states of the Helium atom have been calculated with the method of configuration interaction. The relative precision of the energy calculated is about 99.9% when the total quantum number n is limited by n≤4,and is about 99.99% when n≤6,By contrast, the relative precision of energy by Hartree-Fock model for ground state is about 99%. Using the atomic wave function obtained above, some atomic parameters are calculated,and the results are in good agreement with those of other authors.