This paper deals with the embodiment design of mechatronic product and is intended for proposing a novel design support framework based on multiobjective optimization approaches. This framework builds design architectures by aggregating solution principles presented within a morphological matrix. Then, the solution principles are analyzed against compatibility. This compatibility analysis results in a design structure matrix. Once this compatibility analysis has been performed, the optimization framework developed in this paper is applied to find combination of solution principles. We showed the application of our framework for the embodiment design of a wind turbine.