In this paper we propose identity based attribute encryption from the identity based broadcast encryption which was proposed in IACR eprint No.217 2007. The encryption scheme can be applied to some access control systems. In such a system, the encrypted data can be written on the public boards. Therefore, this access control system can be realized without the dedicated server. In proposed schemes, the sender can flexibly choose some attributes of the groups from a set of all attribute of the groups, and the receivers can decrypt the encrypted data when they belong to some of the chosen groups.
