Abstract: To solve the problem of fine-grained access control in cloud computing, a fine-grained attribute-based encryption cloud access control(FGABE-CAC) scheme is proposed. The scheme has a new system model with Multi-authorities. The notion of privilege tree and attribute group encryption into access control was built, which allowed data owners to define different access structure and fine-grained access control policies. Different attribute-fields of user were owned by Multi-authorities.When users' privileges were revoked,efficient attribute level revocation was put forward by lazy re-encryption and proxy re-encryption technology. In addition, the security model was proposed and the scheme was proven to be the chosen plaintext attack(CPA) secure under the condition of decisional bilinear Diffie-Hellman(DBDH) assumption and it has forward and backward security. The simulation results show the correctness and efficiency of scheme.