In order to improve digital mock-up, a tolerancing phase should be integrated in thegeometric models. However, in CAD software, tolerances are represented by annotations,which are neglected as well as the tolerance impact. Thus, the system malfunction isgenerated. For these reasons, in this paper a tolerancing phase is integrated in thenumerical model to form a realistic model, where worst case configurations of assembliesare determined from the tolerances assigned to the nominal model. The proposed modelincorporates tolerances on CAD models in the case of planar face, cylindrical face andplanar face with non quadratic loop. In addition, the model ability to respect the maximummaterial condition (MMC) and the requirement of datum priority order in the CAD models isshown. Finally, functional requirement of a linear guide mechanism is inspected by usingthe proposed model.