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The article presents a distributed group key agreement protocol based on Validated-BD Protocol and logical tree. Although the amount of communication and computation are increasing at the beginning of the proposed protocol, the protocol can guarantee honesty of participants and decreases the amount of communication and computation when members change. It can deal with members' changing efficiently. The protocol is constructed by Validated-BD protocol, which can prevent active attack from internal malicious members. Compared with previous protocol, our protocol is more efficient and scalable for distributed application.