In the study of new energy resource, hydrogen energy has become a green energy the same as solar energy and wind energy. Under the action of certain catalytic materials (such as Ar+), the hydrogen atom of fractional hydrogen plasma can transit from the ground state to the fractional principal quantum number energy levels lower than the ground level, meanwhile the energy is largely released. By the study of the law of Balmer line's abnormal broadening of atomic hydrogen in argon and hydrogen plasma, the possibility of hydrogen plasma reaction with such a large amount of releasing energy is discussed. The research is in two aspects: by using hollow cathode discharge tube, the existence of fast hydrogen is confirmed and the relationship between the abnormal broadening and the ratio of argon to hydrogen is found to be consistent with the feature of catalytic reaction; by the comparative approach and experiments of strengthening reaction of fractional hydrogen plasma, we have obtained the broader Balmer line's abnormal broadening (the half height broadening reaches 0.245 nm).