The research solves the gathering problem of close formation of multiple UAVs based on consistency theory control.The close gathering strategy can be divided into two steps: loose gathering and close gathering.Considering the problems that the UAVs should arrive at the target point simultaneously and keep a consensus flight state after completing the gathering,and also taking the distributed communication topology used between the UAVs into account,the consistency algorithms for different strategies are proposed.In loose gathering phase,the improved algorithm based on virtual leader is added.In close gathering phase,the consistency algorithm based on virtual leader is designed considering the delay and topology switching.The convergence of algorithm is proved theoretically.Simulation is made for the UAV gathering process.The result shows that: 1) The improved loose gathering algorithm can converge rapidly,and can realize the gathering of UAVs in finite time to some extent; and 2) The close gathering algorithm is validate while keeping the formation stable in conditions of delay and topology switching.