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In order to support the dynamics of the privileged users with low computation,communication and storage overheads in receivers,a secure broadcast encryption scheme for ad hoc networks based on cluster-based structure is proposed,as Mu-Vmdharajan’s scheme cannot securely remove subscribers with data redundancy.In the proposed scheme,we employ polynomial function and filter functions as the basic means of constructing broadcast encryption procedure in order to reduce computation and shortage overhead.Compared with existing schemes,our scheme requires low computation,communication and storage overheads in receivers and can support the dynamics of the privileged users.Furthermore,our scheme can avoid massive message to exchange for establishing the decryption key between members of the cluster.The analysis of security and performance shows that our scheme is more secure than MuVmdharajan’s scheme and has the same speed of encryption and decryption as theirs.So our scheme is particularly suitable for the devices with low power setting such as ad hoc networks.