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The members in the dynamic peer group (DPG) are divided into several clusters according to linker cluster architecture (J.B. Dennis and E. Anthony, 1981). In each cluster, the members perform the BD protocol (M. Burmester and Y. Desmedt, 1994) to establish the cluster key and the TGDH protocol (Y. Kim et al., 2004) is performed among the clusters to generate the group key. This method can not only avoid the weakness of AKA (auxiliary key agreement) of BD, but also reduce the computation cost of TGDH scheme. In our scheme the members have been authenticated based identity, and we prove the security in random oracle model.