Abstract: The cluster spacecraft will play an important role in future space missions due to its unique advantages, and its boundary control becomes a hot spot for research. In this paper, based on the cluster spacecraft’s swarm control model，the particle swarm optimization algorithm is used to acquire the boundary parameters(the minimum envelope radius and the spherical coordinates) of the cluster spacecraft when the state are stable. At the same time, the control method of the spherical cavity potential function is proposed. Combined with the feedback information of the boundary parameters of the cluster spacecraft, the spherical boundary control of the cluster spacecraft is realized. The feasibility of the algorithm is verified by simulation.