The behavior of the emission of the excitons localized at different X-centers at the radiation damages by electron beams with an energy of 1.8 MeV anal argon ions in the plasma of glow discharge is studied. The nature of X-centers, which. contribute to the emission of excitons near energies of 1.5 and 1.6 eV, is discussed. It is shown that the essential reconstruction of the energy spectrum of excitation is observed with increase in the radiation close, as a result of the radiation damages of C-60 molecules.