In this paper, a prescribed time control strategy for satellite cluster formation reconstruction with multiple environmental disturbances and thruster constraints is proposed. Firstly, a finite time convergent extended state observer (FTCESO) is used to eliminate the effects of external disturbances. And it has been proved to be able to accurately estimate the total disturbances of the satellite cluster in a short time. Secondly, based on the sliding mode, a prescribed time controller with piecewise control law is designed for satellite cluster reconstruction which can ensure that the satellites move to the specified configuration at a prescribed time. Then, the convergence of the controller is proved by Lyapunov stability theory. Finally, compared with a sliding mode controller, a numerical simulation is performed to demonstrate the effectiveness of the proposed method.