Cloud computing is now a widespread and economical option when data owners need to outsource or share their data. Designing secure and efficient data access control mechanism is one of the most challenging issues in cloud storage service. Anonymous broadcast encryption is a promising solution for its advantages in the respects of computation cost and communication overload. We bring forward an efficient anonymous identity-based broadcast encryption construction combined its application to the data access control mechanism in cloud storage service. The lengths for public parameters, user private key and ciphertext in the proposed scheme are all constant. Compared with the existing schemes, in terms of encrypting and decrypting computation cost, the construction of our scheme is more efficient. Furthermore, the proposed scheme is proved to achieve adaptive security against chosen-ciphertext attack adversaries in the standard model. Therefore, the proposed scheme is feasible for the system of data access control in cloud storage service. . His research interests include cryptography and information security, cloud computing security, wireless security and trusted computing etc. He has published over 150 research papers in refereed international conferences and journals. His work has been cited more than 3000 times at Google Scholar. He has served as program committee member in over 30 international conferences and served as the reviewers in over 90 international journals and conferences. . Her research interests include cryptography, network security. She has published over 30 research papers in refereed international conferences and journals.