A controllable contained control method of a multi-robot system with strong connected components comprises the following steps that 1, a strongly-connected component robot set in a directed network is regarded as a whole, namely a unit intelligent body, according to a network topology structure, and other robots are common intelligent bodies; 2, a corresponding consistency control law is designed for the unit intelligent body individual so as to achieve the consistency of all units and obtain a contracted graph of the network; 3, for the contracted graph of the network, a maximum bipartite graph matching algorithm is utilized to calculate a network controllable driving node set, driving nodes are leaders in the network, and other nodes are followers; 4, corresponding multi-robot leader contained control laws are designed for the followers and the leader robots according to relative information of the followers adjacent to the individual to drive the follower robots to be asymptotically converged into dynamic convex hulls composed of the leader robots, and accordingly the controllable contained control of the multi-robot network is achieved.