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This paper studies the encryption system of wireless sensor networks. Firstly, a deployment strategy of sensor network nodes based on hexagonal grid group is proposed to obtain the optimal distribution of sensor nodes. Secondly, the key space is defined as the set of all keys of a t-degree binary polynomial f(x,y) generated by the Blundo model.Then, the key materials are allocated to each node through the key pre-distribution stage, and each sensor node finds the shared key space with its neighboring nodes through the direct key establishment stage. If there is no shared key space between two adjacent nodes, one or more intermediate nodes are required to establish a path key through the indirect key establishment stage, so as to complete the establishment of shared key space. The simulation results show that the proposed symmetric key pre-distribution model not only has good encryption performance, but also has better memory overhead, running time and network recovery capability in case of node damage compared with other key schemes.