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Wireless sensor networks are widely applied in various applications. But due to the resource-constrained sensor nodes and the malicious attacks, the traditional key management schemes are not suitable for the network. Based on the particularities, many relevant key management schemes are developed for wireless sensor networks. This paper proposes an improved matrix key-distribution scheme for wireless sensor networks. This scheme can delete and update key information with the network topology changes to avoid key information to be revealed. Also, base on the clustered structure, this scheme can reduce communication, computation and key storage overhead, which can solve the problem that each sensor node has limited resource. Comparison and simulation results show that the proposed scheme can perform better than most of the existing key management schemes in the network security, key storage overhead.