As the safe and reliable operation of the power system becomes more and more dependent on the communication system, time delay has become one of the main factors affecting the synchronization of the cyber physical power system. Aiming at the synchronization problem of cyber physical power system (CPPS) with double delay, the controller was designed to solve the influence of delay on system synchronization. Firstly, a model of the cyber physical power system with double delay was constructed, and then, the controller was designed according to the system model, and the effectiveness of the controller was proved by constructing the Lyapunov function. For large-scale systems, an adaptive containment synchronous controller was proposed, that is, the controller was added to the node of the set of containment nodes filtered according to the structural entropy. Structural entropy can solve the problem of pinning the selection of nodes when the degree of nodes is the same. Finally, two examples were used to verify the feasibility of the proposed method.