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We investigate the congestion control problem in the multi-layer network, and propose a cooperative congestion control scheme for a domain with multiple RED routers. This scheme operates three different cases in the domain, where the domain control module share information with core router and edge router interactively. The congestion control algorithm is simulated to ensure the convergence of the average rate and throughout capacity to its equilibrium state when there are many high-rate flows in multilayer network. Finally, we compared its performance of the dropping probability and the queue length queue length with respect to the single router control results.