The cloud computing has propagated rapidly and thus there is growing interest on the introduction of cloud services in the public institution. Accordingly, domestic public institution are adoption of cloud computing impose and devise a plan. In addition, more specifically, is building a cloud computing system in the public institution. However, solutions to various security threats(e.g., availability invasion of storage, access by unauthorized attacker, data downloaded from uncertain identifier, decrease the reliability of cloud data centers and so on) is required. For the introduction and revitalize of cloud services in the public institution. Therefore, in this paper, we propose a public key based secure data management scheme for the cloud data centers in public institution. Thus, the use of cloud computing in the public institutions, the only authorized users have access to the data center. And setting for importance and level of difficulty of public data management enables by systematic, secure, and efficient. Thus, cloud services for public institution to improve the overall security and convenience.