Starting from the formalism of second quantization，choosing generalized Laguerre polynomials multiplied by r^lexp(-a_lr) as the complete set of the single electron radial function，where a_l 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.