In this paper, we propose a local routing strategy in a complex network, use the node contraction method to evaluate the node importance. The probability of the node transmit packet to its neighbors is adaptively adjusted based on the importance of neighbor nodes and the state of the network. The strategy can take advantage of key nodes when the network is in free flow state, ensure that packets can arrive at their destination faster, protect the key nodes by accurately identifying its importance, and fully use the capabilities of all nodes when the network is in a congestion state, and stop some key nodes from becoming the bottleneck of network. Simulation results show that the proposed local routing strategy can effectively control the network congestion, enhance the network capacity.