The telescopes for space-based gravitational wave detection are used to transmit the laser beam between spacecraft to support the precise interference measurement system. Therefore, the optical path stability of the telescope has become a crucial technical parameter. In this system, pupil aberrations provide deeper insights compared to traditional image plane aberrations in understanding optical path stability requirements, evaluating telescope imaging quality, and suppressing tilt-to-length coupling noise. Based on the theory of traditional imaging aberration and pupil aberration theory, the initial structure of the telescope is established, and the automatic correction of pupil aberration and image plane aberration is achieved through macro programming in the commercial optical software Zemax, thus achieving the design of a high-performance spaceborne telescope. Simulation results demonstrate that the design can meets the requirements of the TianQin mission.