This invention relates to rail-fastening devices for fastening rails to mounting members such as ties or sleepers and of the kind where a bow-shaped clamp is elastically tightenable to hold the rail in position, a part or parts of the clamp resting on the tie or sleeper and another part of the clamp resting on the rail in such a fashion that one part of the clamp presses on the rail foot with a long spiral spring excursion positively to press the rail permanently in a downward direction. In accordance with the invention, one or more stiffly sprung parts of the clamp project over the rail foot and this part or parts on contacting the rail foot or on contacting other parts of the clamp that presses down the rail foot in a positive manner with a long spring excursion, forms not only an elastic limitation of the tightening excursion against plastification of the clamp but also a stiffly sprung resistance to lifting and tilting movement of the rail.