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In this paper, the problem of synchronization of CNN(Cellular Neural Network) hyperchaotic system is studied. The hyperchaotic system has very strong random and inscrutability and make use of its multiple state variables to encrypt the information signal, therefore having higher security. Based on state observer, we realize the synchronization of the CNN hyperchaotic system. The synchronization theory is applied in the two-channel secure communication. Finally, we put forward a new six order CNN hyperchaotic system in simulation. The synchronization results verify the correctness of the theory. The secure communication simulation demonstrates the effectiveness of the method.