In recent years the research in energy field is developing new technologies for the extraction of renewable energy: in particular wave energy is one of the most important branch. Among the possibility, the ISWEC is one of the most promising technology. This work is divided in two principal parts: in the first part the wave prediction is studied, in order to create an accurate predictive model that permit the correct functionality of the plant; in the second part the MPC controlled is studied and developed using the model created in the first part. All the work is developed for a 3 degrees of freedom, that consider the correlation between the horizontal movement, the vertical movement and the rotation, respectively called surge, heave and pitch: this correlation is important to improve the power extraction.