A device for fastening an object, preferably a hinge, to an extruded profile. The device includes a sliding block that is connected in a known way with the a hinge arm via webs on the upper surface of the block, and having one lateral surface on the bottom side ended by a longitudinal snap tooth, and another lateral surface ended in an undergrabbing prong. The fastening device includes at least one pair of resilient elements. The resilient elements are arranged in cutouts formed on the bottom side of the sliding block symmetrically with respect to the main axis of the hinge. The resilient element is arranged in the cutout in a way to protrude from the said the sliding block in the area of the lateral wall of the sliding block.