Cloud computing technologies getting importance with a high level in security concern. In a domain of private, public or government organization. It shows new aspect for transparency. The main issue that Cloud computing provides transparency, but sharing of resources at different level in distributed scheme has severe implications. When at sensitive or privacy-relevant data is concerned for most secure challenging task. In cloud computing ensure the data security in data access control is an effective way. The problem with unsecured cloud servers or the untrusted cloud servers, data access control to various vendors becomes a challenging and most unsecured issue in cloud storage systems in these days. However after user's data or attribute revocation if we have to show the more security through re-encryption process. In the proposed method we uses certificate less encryption-based schemes by relying on a public cloud server. We have applied it as underlying techniques to design the data users and data access control scheme in process. We came to know that our certificate less encryption method can efficiently provide not only forward security but also backward security with more efficient way. © 2016 IEEE.