Aiming at the cooperative acquisition control problem of geocentric very high orbit constellations, a cooperative acquisition control strategy was designed on the basis of the virtual formation method, and a three-pulse burnup optimal trajectory planning algorithm was used to coordinate the trajectory of the conformation acquisition. And the adaptive whole integral sliding mode controller was combined to track and control the transfer trajectory of the satellites. Taking the three-star constellation configuration capture at an orbital altitude of 100000 km as an example for simulation verification, simulation results show that this strategy can be effectively applied to the configuration control of the constellation with very high geocentric orbit. It can make the satellites in the constellation reach their nominal positions at the same time with less burn up, and at the same time has high accuracy.