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Key Management is a major challenge to achieve security in wireless sensor networks. Considering both wireless sensor node's limited energy and the security requirement for WSN applications, In this paper, We propose a New Group Key Management Scheme with simple hash based authentication method, which develops the random pair-wise key pre-distribution scheme. With grouping design and identity authentication of the nodes, this scheme improves the security connectivity and supports more large-scale networks. At the same time, the scheme reduces the node's memory overhead. This scheme suits wireless sensor network application which has upper security request.