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With the application of P2P networks becoming more extensive, its security issues attract more and more attention. This paper proposes a certificateless-based key distribution scheme with multi-KGCs that fits the characteristics of P2P networks. The proposed scheme introduces threshold technology, and it needs a certain number of KGCs working together to generate the partial private key for the user. Therefore this scheme can prevent less than a certain number of malicious KGCs colluding to forge the user's private key, and can work properly even when no more than a certain number of KGCs fail. So it is secure and robust.