Mining subsidence generates great displacements of the ground surface which may be responsible of building damage. Estimation of ground displacements are well-known but their transfer to the structure need more studies. We will first present different numerical strategies for the take into account of soil-structure interaction. Then we will present a global finite element model which allowed us to study behaviour of different kind of structures. In particular we show some results for a rigid structure (raft) and for a soft one (framed structure).