Using the-self-consistent quantum perturbation theory, we study the elementary excitaton of one-dimensional sine-Gordon model described by parameters α0 and β0. It is demonstrated in this article that the elementary excitations consist of quantum solitons and antisolitons.Under the condition α020≤8π,our results for the gaps agree with the exact results of the Thirring model and the half-filling Hubbard model based on the bosonization techniques.