Many real-world dynamical networks display the feature of complex structure, and the complexity feature of networks has attracted increasing attention from various fields of science and engineering. In this paper, we introduce a general dynamical network with different coupling strength and study the complexity of this network model with time delays. Based on the theories of linear matrix inequalities (LMI), the asymptotical stabilities of the network chaos synchronization for delay-dependent are investigated. We finally use a dynamical chaos network with time delay and specific coupling scheme as an example to illustrate the theoretical results