Floor-cleaning machine having a base and a cleaning-element arrangement, which is driven and held on a bottom side of the base and serves for engagement with a floor surface, and a drive motor, which has an output shaft for driving the cleaning-element arrangement, wherein the output shaft is able to be driven in rotation by the drive motor and extends along an output axis, wherein the cleaning-element arrangement has an inner cleaning element and an outer cleaning element which is arranged externally around the inner cleaning element, wherein the inner and outer cleaning elements (51, 61) are able to be driven in such a way that each of the cleaning elements (51, 61) performs an eccentric movement in which, as seen perpendicularly to a cleaning-body plane, each point of the cleaning element (51, 61) moves in a substantially circular manner about an axis which extends parallel to the output axis, in which, for points which do not coincide as seen perpendicularly to the cleaning-body plane, the axes are different from one another, in which, for a cleaning element (51, 61), as seen perpendicularly to the cleaning-body plane, all the points move in one direction of movement at any point in time, wherein the eccentric movements of the inner cleaning element and the outer cleaning element are phase-shifted in relation to one another in such a way that, as seen perpendicularly to the cleaning-body plane, at any point in time, the direction of movement of the points of the inner cleaning element is different from the direction of movement of the points of the outer cleaning element, wherein the inner cleaning element has an inner cleaning body and the outer cleaning element has an outer cleaning body, wherein the cleaning bodies (49, 59) jointly extend in the cleaning-body plane, and wherein engagement elements extend from the cleaning bodies (49, 59) away from the cleaning-body plane to one side thereof, wherein the inner cleaning body has a first receiving opening and the outer cleaning body has a second receiving opening, wherein the inner cleaning body is arranged in the second receiving opening, wherein the output shaft extends with an output-shaft section into the first and into the second receiving opening, wherein attached to the output-shaft section is a first eccentric element (41, 45) which is connected to the inner cleaning body in such a way that, when the output shaft rotates, the inner cleaning body performs the eccentric movement, and wherein attached to the output-shaft section is a second eccentric element (43, 55) which is connected to the outer cleaning body in such a way that, when the output shaft rotates, the outer cleaning body performs the eccentric movement. a base and a cleaning-element arrangement, which is driven and held on a bottom side of the base and serves for engagement with a floor surface, and a drive motor, which has an output shaft for driving the cleaning-element arrangement, wherein the output shaft is able to be driven in rotation by the drive motor and extends along an output axis, wherein the cleaning-element arrangement has an inner cleaning element and an outer cleaning element which is arranged externally around the inner cleaning element, wherein the inner and outer cleaning elements (51, 61) are able to be driven in such a way that each of the cleaning elements (51, 61) performs an eccentric movement in which, as seen perpendicularly to a cleaning-body plane, each point of the cleaning element (51, 61) moves in a substantially circular manner about an axis which extends parallel to the output axis, in which, for points which do not coincide as seen perpendicularly to the cleaning-body plane, the axes are different from one another, in which, for a cleaning element (51, 61), as seen perpendicularly to the cleaning-body plane, all the points move in one direction of movement at any point in time, wherein the eccentric movements of the inner cleaning element and the outer cleaning element are phase-shifted in relation to one another in such a way that, as seen perpendicularly to the cleaning-body plane, at any point in time, the direction of movement of the points of the inner cleaning element is different from the direction of movement of the points of the outer cleaning element, wherein the inner cleaning element has an inner cleaning body and the outer cleaning element has an outer cleaning body, wherein the cleaning bodies (49, 59) jointly extend in the cleaning-body plane, and wherein engagement elements extend from the cleaning bodies (49, 59) away from the cleaning-body plane to one side thereof, wherein the inner cleaning body has a first receiving opening and the outer cleaning body has a second receiving opening, wherein the inner cleaning body is arranged in the second receiving opening, wherein the output shaft extends with an output-shaft section into the first and into the second receiving opening, wherein attached to the output-shaft section is a first eccentric element (41, 45) which is connected to the inner cleaning body in such a way that, when the output shaft rotates, the inner cleaning body performs the eccentric movement, and wherein attached to the output-shaft section is a second eccentric element (43, 55) which is connected to the outer cleaning body in such a way that, when the output shaft rotates, the outer cleaning body performs the eccentric movement.