Cloud computing is one of today’s hottest research areas due to its ability to reduce costs associated with computing while increasing scalability and flexibility for computing services. Cloud computing is Internet based computing due to shared resources, software and information are provided to consumers on demand dynamically. Cloud computing is one of the fastest growing technology of the IT trade for business. Since cloud computing share disseminated resources via the network in the open environment, hence it makes security problems vital for us to develop the cloud computing applications. Cloud computing security has become the leading cause of hampering its development. Cloud computing security has become a hot topic in industry and academic research. This paper will explore data security of cloud in cloud computing by implementing encryption with elliptic curve cryptography.