The Ubiquitous computing Environment is an environment that freely shares all data anytime, anywhere, and through any device without considering constraints. However, the personal or private information in ubiquitous computing could be disclosed, shared from anyone, or used maliciously without consent from the owner of the data. Thus, Privacy is one of the major issues in such an environment. Of many security methods, which are able to protect the privacy, The Role-Based Access Control (RBAC) model, a typical access control model within the enterprise environment, has been widely studied, applied to various applications, and implemented. However, much existing research for access control has not solved the privacy concerns within ubiquitous computing. This paper proposes a method and framework of user-centric and efficient access control to handle personal privacy within ubiquitous computing environment by using both proposed model based on core component of RBAC model and privacy policies.