Cloud computing paradigm enables the users to access the outsourced data from the cloud server without the hardware and software management. For the effective utilization of sensitive data from CSP, the data owner encrypts before outsourcing to the cloud server. To protect data in cloud, data privacy is the challenging task. In order to address this problem, we proposed an efficient data security method using cryptographic techniques. Thus, the proposed method not only encrypts the sensitive data, but also detects the dishonest party to access the data using combined hash functions. We have analyzed the proposed method in terms of storage, communication and computational overheads. The result shows that the proposed security method is more efficient than the existing security system.