Today cloud computing is the most trending and advanced technology with high future implementation in the information and technology industries. Nowadays many cloud storages or online storages are provided by a number of companies to their customers as well as to the employees. In current scenario computing infrastructure is rapidly moving towards the cloud based architecture in which the users are enabled to move their data and application software to the network and access the services on-demand. It is a flexible, cost-effective, and proven delivery platform for providing business or consumer IT services over the Internet. Cloud computing is the most crucial research area that has many potential advantages and many enterprise applications and data are migrating to public, private or hybrid cloud. Cloud Computing has the advantage of reducing cost by sharing computing and storage resources, combined with an on-demand provisioning mechanism relying on a pay-per-use business model in both acadamic and industry. But regarding some business-critical applications, the organizations, especially large enterprises, still wouldn't move them to cloud, because, without appropriate privacy and security solutions designed for clouds, it is difficult to use cloud computing by acadamic, industries, governmental organizations, healthcare sectors or other concerned units. The primary contribution of our work is to provide a better understanding of the cloud computing, to assess how privacy and security issues occur in the context of cloud computing and discuss the mechanisms to be addressed those issues in cloud computing.