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Aiming at the given key management program based on bivariate polynomial or q-composite method has the defects of lower ability of resisting conspiracy attack and low network connection rate, a management program based on believable sink generating ternary polynomial and HASH function is proposed. Firstly, the WSN is divided to several clusters, then the believable sink node generating several ternary polynomial, and then select some ternary polynomial allocating to the cluster head nodes, when the number of co-polynomial between two cluster head nodes reaching q the nodes can communicate, and the communicate keys is obtained by the HASH function to hide the partial key information of nodes. The theory research and simulation experiment shows the method in this paper can realize the key management for WSN, compared with the other methods, it has the high network connection rate and high resisting conspiracy attack. Therefore, it has big priority.