本文以当前的研究热点复杂网络为背景,用Lyapunov 稳定性理论和矩阵变换研究了网络中互相耦合的三个节点的混沌同步,提出了一种全局混沌同步方案，并在同步的基础上研究了节点之间的保密通信，最后利用Matlab 软件进行数值仿真,仿真结果表明了该方法的有效性.关键词:复杂网络 混沌同步 保密通信Abstract: The problem of complete synchronization for the nodes in complex network isdiscussed in this paper .Considering the three bidirectional coupled nodes in the complex network , the sufficient condition for the global synchronization and asymptotical stability based on the Lyapunov stability theorem . Finally apply it to secret communication, the emulation result of number value indicates that the communication scheme is feasible and effectual.Key Words: complex network, chaotic synchronization, secret communication