A rail fastener comprises a rail support in a form of a bracket secured to a rail base and an lever oriented in perpendicular to the rail longitudinal axis, wherein one end of the lever is articulated to the bracket by a silentblock and the other end comprises a rail mounting platform equipped with limiters of the rail displacement in the direction perpendicular to the rail track axis. The rail is secured to the rail support by two clips disposed astride the rail. Some ends of the clips are taken under the lower surface of the rail platform, while the other ends abut on the upper surface of the rail flange via hexagonal adjusters each having an orifice located eccentrically in relation to the hexagon axis and receiving the other end of the clip. The rail fastener further comprises two elastic members disposed between the rail and the rail base astride the lever, and their thickness is selected so as to form a gap between the rail base and the lower surface of the lever in a position when the rail receives a load of a train wheels.