According to the efficiency of on-orbit service and the requirements of uniform distribution on the bounded space surface for satellite swarm, a distribution measurement model and corresponding configuration control strategy based on the combination of the improved monopolize ball and the potential function are proposed. It can measure the spatial uniformity, spatial coverage and spatial clustering index of satellite swarm effectively, and guide the satellite swarm to build the self-organizing uniform distribution without collision under the condition of limited awareness information in a limited area. Simulation analysis shows the good rotational symmetry and translational symmetry of the uniformity model, as well as the distribution uniformity of satellite swarm with good low dimensional projection shown.