Abstract:When a number of complex systems in real world are described by complex network topology,their vertex connectivity follows powerlaw distribution,having only a few of highconnectivity vertices,but a great deal of lowconnectivity vertices in network.In the paper,the relationships between complex networks' topologic entropies and their structures are studied.From view points of system opening,nonequilibrium state,nonlinearity interaction and stochastic fluctuation,complex network's topologic structures are discussed.It is concluded that this is due to the result of systems' selforganization evolution process.