The Master’s thesis has focussed on the stability of a facetted shell structure. The research contributes to a Ph.D. research currently carried out at the Technical University of Denmark (DTU), which investigates the possibilities to design and build a shell structure from flat glass panels. The structure is a so-called plate (facetted) structure, which is a relatively unknown, though very efficient structure type. By combining this structural typology with laminated float glass, a very transparent structure becomes possible. Since smooth shell structures are prone to buckling, it is very important to assess the behaviour of the glass facetted structure in this respect. During the research different aspects that are important for the stability of the structure have been investigated using a finite element model. Important was for instance the sensitivity of the structure to imperfections. Furthermore, the influence of the stiffness of the joints between the glass facets turns out to play an important role in the behaviour of the structure. Especially the normal stiffness (k_n) is vital, while the bending stiffness (k_m) is less important. Other aspects that have been considered are the robustness of the structure and the influence of the stiffness of the panels. The research has shown that the structural system and its combination with laminated float glass looks very promising.