Abstract: This paper proposes a coordination controller for the multi-spacecraft rendezvous problems. The communication topology among multiple spacecraft is firstly described with the help of adjacency matrix properties by using the graph theory. Then the problem of multi-spacecraft rendezvous under the case that the orbit of target spacecraft is ellipse has been described, and the coordination controller is designed. Finally, the stability of system has been proved by applying the Lyapunov function method, further, the energy cost is optimized and the maximum control force is constrained. The simulation example illustrates the effectiveness of the theoretical results and shows that the proposed coordination controller can achieve the multi-spacecraft rendezvous.