The invention relates to a floor-treating appliance (1) having two frame parts (3, 4) which are arranged transversely, and one behind the other, and on which are arranged hollow discs (5, 6) which are mounted such that they can be rotated separately one beside the other, wherein the hollow discs (5) of the one frame part (3, 4) have the concave sides oriented obliquely forwards and outwards, as seen in the direction of operation, and the hollow discs (6) of the other frame part (4) have the concave sides (10) oriented obliquely forwards and towards the centre, as seen in the direction of operation, and wherein the chords of the concave sides (10) of the hollow discs (5, 6) are arranged so as to enclose an obtuse angle (α) with the floor surface (13), wherein the respective two hollow discs which, in a central region (50), have their concave sides (10) or their convex sides oriented towards one another are designed such that in each case one of these hollow discs (14, 15) has a smaller diameter and is offset in relation to the adjacent hollow discs (5), as seen in the direction of operation.