Based on the thermal control system of Space solar telescope, the temperature of primary mirror in deep-space solar observatory was simulated under new orbit and larger view. Based on the theory of thermal-structural-optical integrated analysis, thermal deformation of the primary mirror under supported condition was calculated. And the deformed surface point of the primary mirror is fitted using parabolic polynomial and Zernike formula. The Root Mean Square(RMS) of deformed surface was greater than λ/40(λ=533 nm). It indicates the former thermal control system cannot meet its 0.1″ diffraction limit quality. Owing to the former thermal control system meets the demands of optical design difficultly, the supporting system of mirror is suggested to be adjusted in order to decrease thermal deformation. The integrated analysis of primary mirror is useful for optimizing the thermal control system and supporting system of Deep-space solar observatory.