Data access control is an effective way to ensure the data security in the cloud. This scheme provides data owners more direct control on access policies. In this paper, we design a Fortified Access control for Multi-Authority Cloud Storage Systems, where the process of data access control is strengthened to ensure the safety of the cloud data. Fortified access control to discourse not only the data privacy difficulties in existing control scheme, by using multiple authorities in the cloud storage system, the proposed scheme can efficiently reaches the tenable access control and revokes the anonymous access to the cloud data. The study and simulation analysis illustrates that proposed well organized Fortified Access Control is both secure and efficient for Cloud Storage Systems.