Rail-fastening system for the non-positive resilient fastening of a rail (2) on a sleeper (1) of a railway track installation, comprising at least one angle guide plate (5), which can be fixed to the sleeper (1) with at least one screw (4), and at least one clamp (3), characterized in that the bending radii of the clamp arms (3a, 3b) of the clamp (3) preferably lie in the range from 18-70 mm, wherein the ratio of mutually adjacent bending radii within each clamping arm is ≦1.9 and the ratio of the greatest to the smallest bending radius thereof is ≦3.8, and in that the ratio of weight to width of the angle guide plate is