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Research on congestion and phase transition, as an important aspect of network robustness, is helpful in guiding infrastructure construction, such as communication network, power grid, and so on. Based on related works, this paper sets up node model with different processing ability and limited capacity, proposes a traffic-awareness routing strategy with tunable control parameter. The optimal parameter of the routing strategy is decided by simulation and the obtained critical threshold of phase transition is consistent with theoretical estimation. The result shows that the routing strategy can improve the efficiency of network transmission better than other strategies. At the same time, this paper finds that the processing ability of network node determines the critical threshold of phrase transition.