Abstract: The invention concerns a rail fastener on concrete ties (4) or the like including resilient tension clamps (6) of steel rods in the form of a W and angled guide plates (3) for the rail base (1a). This so-called HM rail fastener is inventively improved by a special shaping of the tension clamp and angled guide plate, to simplify the securing of the rail on the concrete ties, in that the rotation of the elastic strainers which was previously necessary in HM construction when passing from the preassembly to the assembly position is omitted. This is achieved in that the angled guide plate (3), which is provided with a rib (3a) extending longitudinally to the rail foot for abutment on the rail foot (1a), contains in this rib special recesses (3b) for the reception and retention of the free ends of the tension clamp in the preassembly position.