Enterprises are driving towards less cost, more availability, agility, managed risk - all of which is accelerated towards Cloud Computing. Cloud is not a particular product, but a way of delivering IT services that are consumable on demand, elastic to scale up and down as needed, and follow a pay-for-usage model. Out of the three common types of cloud computing service models, Infrastructure as a Service (IaaS) is a service model that provides servers, computing power, network bandwidth and Storage capacity, as a service to their subscribers. Cloud can relate to many things but without the fundamental storage pieces, which is provided as a service namely Cloud Storage, none of the other applications is possible. This paper describes the concept, architecture, characteristics of cloud computing as well as the types of models and issues of cloud computing. In this paper, section 2 also describes useful of Application Programming Interface (API) in cloud storage and the issues of cloud storage. This paper focuses the data compression types as well as techniques briefly in section 3. We clearly implicit compression technologies are used to improve the storage capacity in cloud storage.