A technical scheme of super-cavity with two parabolic mirrors is presented. The total photon density at the collision point of parabolic super-cavity is computed. By using the Compton scattering theory, the high brightness laser synchrotron source based on the parabolic super-cavity, including photon yield are discussed and calculated. The results show that when the reflectivity of parabolic mirror is equal to 99.99%, the total photon density at the collision point after infinite reflection is about 5 000 times higher than the photon density of the input laser beam at the collision point, and the photon yield of corresponding Compton vertical scattering is about 5 000 times higher than the photon yield of Compton vertical scattering between electron beam and input laser beam at the collisi