Abstract: A user's attributs are usually distributed and authenticated by the different authorities. Proposes a multi-authority attribute-based encryption scheme for this case. The universal attribute set is divided into a number of attribute subsets，moreover，the attribute subsets intersect is null set. For every attribute subset，an authority takes charge of monitoring the attribute value and as?signs a key corresponding to the attribute value. Every senter can encrypt the information with a certain attribute set，and the user obtaining the attribute set can decrypt the encrypted information. The proposed scheme meets the security of IND-sSET-CPA.

Key words: attribute-based encryption, multi-authority attribute-based encryption, bilinear Map