The third harmonic generation spectrum (THG) of trans-polyacetylene exhibits two peaks at 0.6 eV and 0.9 eV respectively. None of the existing theories can give a quantitatively satisfactory interpretation. By considering properly the excitation-dependent damping, one can get the second peak at 0.9 eV. The damping of excited states depicted in this paper due to electron-phonon interaction of polymer varies with the excited states. According to this damping, the theoretical results of THG agree with the observed spectrum very well.