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The key issue for WSN (wireless sensor network) is designing viable security mechanisms for the protection of confidentiality, integrity and authentication to prevent malicious attacks, but with nodespsila limited capabilities. Recently, Cheng proposed an efficient key distribution mechanism for large scale wireless sensor network based on hierarchical topology. In this paper, we show that Chengpsilas scheme is vulnerable to the node capture attack. Then a security modification of the original scheme will be proposed, which can withstand the node capture attack.