A cleaning device includes a handle and a cleaning head which is movable on a surface to be cleaned. The cleaning head has at least one rotatable cleaning roller and a first lip element arranged adjacent to a first suction gutter which can be subjected to negative pressure by a suction pump, and the cleaning head has a second lip element arranged adjacent to a second suction gutter which can be subjected to negative pressure by the suction pump. The first and second lip elements may each be movable, and the handle may be pivoted to move the lip elements.