Cross-laminated timber ¿¿CLT¿¿ consists of crosswise glued boards. The increasing usage of this solid wood product for walls and slabs requires more appropriate design methods, which can be used for a correct assessment of such building elements subjected to all different types of loadings. At the moment there are no specific design procedures for single spot support conditions. The current design concepts are valid for stresses below the elastic limit. Nevertheless, contemporary research results show increasing load capacities even beyond the elastic regime. The objective of this research work is to find an appropriate numerical model for a structural analysis by using a general purpose model. Moreover, the structural behaviour under concentrated loading will be determined. Therefore, Austrian and German normative regulations are evaluated. In a further step, the performance capabilities of different structural modelling strategies are evaluated. In the course of this thesis girder grid, surface and solid models are presented. Furthermore, the current state of research concerning punching failure is shown. In the light of these research results, numerical simulations of CLT-plates under concentrated loading were carried out. The simulation results show different types of load bearing behaviours. The quasi-ductile behaviour is mainly characterized by rolling shear failure and membrane systems. As a consequence, the obtained results could be used for further investigations on strategies for efficient strengthening against premature brittle failure I order to enlarge the efficiency of cross-laminated timber.