Enterprise could easily configure services from cloud computing with low upfront investments of hardware and equipment. Nevertheless, ENISA (European Network and Information Security Agency) researches on cloud services show that the security concern is the most important point for enterprise adoption of cloud services. To achieve this, risk assessment becomes a main of procedures to improve the trust of cloud services for users. In this paper, we propose an approach to assess the risk associated with applying a cloud service, exemplified by Windows Azure and based on principle of risk assessment from ISO 31010. Our approach could monitor the probability of risk of the related services, and present the quantitative risk in corresponding money loss, which then can be used to support decision making of adoption of the service.