A supporting structure for curved envelope geometries, particularly in structures and shipbuilding, wherein the curved envelope geometry approaches a freeform surface at least in some sections, comprising connecting elements (1, 2) and surface elements spanned by the connecting elements (1, 2), wherein according to the invention surface elements are provided which are designed as simple curved strip elements (S), the curvature of which extends in each case in the longitudinal direction of the strip elements (S), wherein two strip elements (S) are connected to each other along the longitudinal edges (L) thereof by way of longitudinal connecting elements (1).