Abstract: There usually exists the coupling temporal arrearage circs in the real network owing to the congestion, bandwidth and transmission velocity. Therefore, one new kinds of cascading failure model with the coupling temporal arrearage character is come into being. To the emphasis, the new model has been applied into studying the highway traffic network. In this paper, the nonlinear dynamics feature of the traffic congestion has been studied, the formation mechanism of the traffic congestion in the traffic networks has been researched, and its complex dynamics spreading behavior has been probed, the diffusion of traffic congestion in the complex networks has been analyzed. Two kinds of attack strategies, the random and the intentional, which bring the cascading failure of networks are simulated, and then the threshold value distribution is calculated which influent the networks efficiency and networks enduring abilities for the cascading failure.