Fastening system for panels (2, 3), having holding profiles arranged at the edges of the panes (2, 3), especially for floor panels, that are placed on a base and whose edges are provided with holding profiles, where the holding profile of a long edge and the holding profile of the opposite edge, as well as the holding profiles of the other two short edges of a panel (2, 3), match one another in such a manner that further panels can be fastened to the free edges of one of the placed panels, where at least the holding profiles of the long edges of the panels (2, 3) are configured as complementary positive-fit profiles (4, 5) and the panels (2, 3) are interconnected by pivoting them to be joined, that the positive-fit profile of one of the long edges of a panel is provided with a recess and the opposite edge of this panel with a corresponding projection, that the wall of the recess facing the base has an inside cross-section with a concave curvature, that the associated positive-fit profile of the opposite edge of the panel has a projection, the underside of which facing the base has a cross-section with a convex curvature, that the convex curvature of the projection and the concave curvature of the recess are essentially of complementary design, one short edge of a panel (2, 3, 40, 41, 62, 63) has a first hook element (44, 45, 64, 67) and the opposite short edge of the panel (2, 3, 40, 41, 62, 63) has a hook element (44, 45, 64, 67) that complements the first one, that the hook elements (44, 45, 64, 67) are provided with holding surfaces (68, 69) that, when assembled, hold the panels together in such a way that the surfaces of the panels abut without gaps at the short edges, that the holding surfaces (68, 69) are designed in such a way that they can be brought into contact with each other in the direction of the pivoting movement without undercutting, the first hook element is formed by a web, which protrudes roughly perpendicularly from the short edge and is located on the upper side of the panel, wherein at the free end of the web is arranged a hook projection facing the underside of the panel, wherein holding surface is arranged in such a way that it constitutes the proximal side of the hook projection of the first hook element, the second hook element is formed by a web, which protrudes roughly perpendicularly from the short edge and is located on the underside of the panel, wherein at the free end of the web a hook projection is arranged facing the upper side of the panel, wherein holding surface is arranged in such a way that it constitutes the proximal side of the hook projection of the second hook element, characterised in that in that at least one of the front sides (72,75) of one of the hook elements (64, 67) of the panels (62, 63) has at its free end a protruding snap element (65, 73) which engages in an undercut recess (66, 74) of the other hook element (64, 67) of the panel (62, 63), that the positive-fit profiles of the long edges of two panels form a common joint when two panels are laid, that the upper side of the projection of a panel facing away from the base displays a bevel extending up to the free end of the projection, that the bevel increasingly reduces the thickness of the projection towards the free end, and that the bevel creates space for movement for the common joint. characterised in that in that at least one of the front sides (72,75) of one of the hook elements (64, 67) of the panels (62, 63) has at its free end a protruding snap element (65, 73) which engages in an undercut recess (66, 74) of the other hook element (64, 67) of the panel (62, 63), that the positive-fit profiles of the long edges of two panels form a common joint when two panels are laid, that the upper side of the projection of a panel facing away from the base displays a bevel extending up to the free end of the projection, that the bevel increasingly reduces the thickness of the projection towards the free end, and that the bevel creates space for movement for the common joint.