Cloud computing is a new environment in computer-oriented services. The high costs of network platforms, development in client requirements, data volumes and weight on response time pushed companies to migrate to cloud computing, providing on-demand web facilitated IT services. Cloud storage empowers users to remotely store their information and delight in the on-demand high quality cloud applications without the affliction of local hardware management and programming administration. In order to solve the problem of data security in cloud computing system, by introducing fully homomorphism encryption algorithm in the cloud computing data security, another sort of information security solution to the insecurity of the cloud computing is proposed, and the scenarios of this application is hereafter constructed. This new security arrangement is completely fit for the processing and retrieval of the encrypted data, successfully prompting the wide relevant prospect, the security of data transmission, and the stockpiling of the cloud computing.