In the IT industry’s there is forcefully demand of the technology known as Cloud computing. It is an emerging trend in computing. There are huge data centres are used in big industries. Environmentally, these systems can produce e-wastes, harmful gases with heat. This paper focuses on security in such a power saving data centres in the enterprises we called them as Green Cloud Computers. We have explained and suggested the Virtualization technique for saving energy and the security framework for the Green Cloud that consist of pool of virtual machines. This security framework consists of policy enforcement, trust management and such a security model.