a device for bridging a difference in height between two floor surfaces is described , with said device comprising a profiled cover that is provided with a covering flange which covers the edge of each of the two floor surfaces , with at least one clamping extension that protrudes downward from the covering flange , extends longitudinally with respect to the profiled cover , and clamps into and engages with a fixture , with said device also comprising a compensating strip located between the covering flange of the profiled cover and the lower of the two floor surfaces . in order to create advantageous construction conditions it is proposed that the fixture forms a clamping seat for the compensating strip .