Abstract: For the congestion problems of wireless sensor network(WSN) with communication delays,the graph theory is used to model the wireless sensor network,and a congestion control algorithm based on consensus(CCBC) is designed based on idea of leader-follower.According to the load status of the sink node,data transmission rates of all sensor nodes are adjusted reasonably.Sufficient conditions are given to prove the validity of the proposed algorithm under the varying network topology and time-varying delay.NS simulation results indicate that the CCBC achieves lower drop rate,higher link usage and good energy saving property comparing with other algorithms,and restrains the congestion in wireless sensor network.