With the advent of new media and the delivery of recent means of communication, associated with the progress of networks, the circumstances of software use, as well as the skills and the preferences of the users who exploit them, are constantly varying. The adaptation of the User Interface (UI) has become a necessity due to the variety of the contexts of use. In this paper, we propose an approach based on models for the generation of adaptive UI. To reach this objective, we have made use of parameterized transformation principle in the framework of the Model Driven Engineering (MDE) for the transformation of the abstract interface into a concrete interface. The parameter of this transformation plays the role of the context of use. The paper develops two parts: meta-models for every constituent of the context of use and the adaptation rules.