A sound-damping rail assembly for a track for rail vehicles comprises a rail having a pair of downwardly converging flanks below its head and above its base. The rail is received in a frame with downwardly inclined sides, the flanks being braced against these sides by elastomeric layers which are interposed between the flanks and the sides. A further elastic layer can be provided between the base or foot of the rail and the inner supporting surface of the frame and such layers may completely envelop the rail except for the head.