Abstract: Rich dynamic behaviors are found in complex networks, such as bifurcation, chaos and oscillation. With the deepening of research, it is found that synchronization plays a vital role in complex network research. Therefore, it is very necessary to carry out research on the synchronization of network systems with delayed nodes and noise disturbances. A complex dynamic network model was established, and an adaptive controller was proposed based on LaSalle type invariance principle. With the help of Lyapunov stability theory, the basic conditions for realizing synchronization between complex network and external system were provided. This synchronization method can effectively solve the effects of time delay and noise on the synchronization process. Finally, the feasibility and effectiveness of the proposed method were further illustrated by numerical simulation.