In a frictionally locking elastic rail attachment for track systems, which attachment has a clamping element (11) which is made of elastic material, in particular of hardened steel, is embodied in the manner of a clamp with torsional limbs and is attached in the mounted state by means of a holding device and an attachment armature (13) which penetrates the latter vertically, on a sleeper body (3), in particular a concrete sleeper, and applies a clamping force which holds the rail (1) in position—the rail being arranged on the sleeper body with the intermediate connection of a rail supporting plate (6), the rail supporting plate (6) is embodied in one piece with through-bores, provided at both of its ends, for the holder housings (10) having attachment armatures, in such a way that, on the one hand, the clamping elements (11) are held in a positive locking fashion and, on the other hand, the holder housings (10) and, associated therewith, the clamping elements (11) are prestressed by the rail (1) which is inserted with its rail foot (2) between the holder housings (10).