The wave functions of the n 1,3P (n=2,3,4) and the n 1,3D (n=3,4,5) low-lying states ofthe helium atom are expanded into the complete sets of the symmetrically adapted basis functionsfrom hyperspherical harmonic functions in the angle part and of generalized Laguerre functions inthe radial part respectively, and are then augmented by the simplest type of Jastrow correlationfactor to incorporate electron-nucleus cusp only. The excellent agreement between the presentnonrelativistic eigen-energies and those from the sophisticated configuration interaction (CI)method for the examined states indicates that the hyperspherical harmonic method can also be applied to the P and the D excited states of the helium atom.