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The studies of the complex network have opened out the internal essence of many phenomena in real world. With the expansion of Internet application, the factors to influence Internet QoS are more and more concerned. In paper, based on the theories of complex network, the congestion control how to affect the network QoS is studied. By analyzing the models of random network, BA scale-free network and local-world network, it is investigated that how the biggest power nodes and biggest betweeness nodes are to affect the network congestion. In the simulations, the robustness and frangibility of the three models are studied by applying different control schemes to the central router node.