Enterprise security is essential to achieve global information security in business and organizations. Enterprise Cloud computing is a new paradigm for that enterprise where businesses need to be secured. Enterprise Cloud computing has established its businesses and software as a service paradigm is increasing its demand for more services. However, this new trend needs to be more systematic with respect to Enterprise Cloud security. Enterprise Cloud security is the key factor in sustaining Enterprise Cloud technology by building-in trust. For example, current challenges that are witnessed today with cyber security and application security flaws are important lessons to be learned. It also has provided best practices that can be adapted. Similarly, as the demand for Enterprise Cloud services increases and so increased importance sought for security and privacy. This paper presents recommendations for enterprise security to analyze and model Enterprise Cloud organizational security of the Enterprise Cloud and its data. In particular, Enterprise Cloud data and Enterprise Cloud storage technologies have become more commonly used in organization that adopt Cloud Computing. Therefore, building trust for Enterprise Cloud users should be the one of the main focuses of Enterprise Cloud computing research.