In cloud cryptosystems, a diversity of advancement can be experienced to make strong both the authentication and data storage (compression) in open cloud environment. This paper expands the standing effort of authentication with compression schemes. The earlier drawbacks include normal schemes for client’s metrics, direct authentication verification with risks of information outflow to attackers, uploading of replica content and slow speeding of the network. To overcome these existing flaws, this effort delivers a framework deploying a trusted server. When the clients access to open cloud, they share the identities and then accelerated to open cloud with authentication keyword. For compression, the modified deflate algorithm is incorporated for better performance. This strategy helps in generating better results for authentication and data storage milestones. The main objective of the proposed work is to secure the data in the cloud from the unauthorized users and improve the storage capacity in cloud. The proposed framework is sub divided into three stages: Requisition phase, authentication phase and storage phase. The primary stage involves the requisition phase which uses the basis login and password requisition model. The secondary stage executes authentication and authorization. In the final stage the data is compressed and stored in the network using modified deflate data compression algorithm.