A cleaning device for smooth floor surfaces has a housing having a working chamber and a drive chamber. First and second cleaning rollers are rotatably supported in the working chamber and extend transversely to a working direction of the cleaning device substantially across an entire width of the cleaning device. A drive is arranged in the drive chamber and drives the first and second cleaning rollers about a horizontal axis of rotation. The first and second cleaning rollers are height-adjustably arranged in the housing such that an adjusting device acts on the first and second cleaning rollers and moves them into a working position or into a parking position, respectively. The first and second cleaning rollers have a mantle surface projecting in the working position downwardly past a bottom plate of the housing to act on a floor surface.