Floor-cleaning machine having a base and an operating bar, wherein the base has a cleaning-element arrangement with at least one driven cleaning element (51, 61) on which engagement elements are provided, wherein the cleaning element (51, 61) is configured to engage, by way of the engagement elements provided thereon, with a floor surface to be cleaned, such that free ends of the engagement elements are arranged in a cleaning plane when engaging with the floor surface, wherein the operating bar extends along a longitudinal axis between a proximal end and an actuating end and is pivotably attached to the base via a joint in such a way that it can be pivoted in any desired directions in relation to the base, wherein the joint is configured in such a way that, when the operating bar is rotated about its longitudinal axis, a torque is exerted on the base, which torque is oriented in such a way that, as a result, the base is pivoted about a vertical axis which extends perpendicularly to the cleaning plane, wherein the joint comprises a sleeve-shaped bellows, which extends between a first and a second end (83, 85), the first end of which is connected to the base and the second end of which is connected to the operating bar, a first supporting element, which is arranged in the interior of the bellows and is attached to the base so as to point away from the latter, and a second supporting element, which is arranged in the interior of the bellows and is attached to the proximal end of the operating bar so as to point away from the latter, wherein the free end of one of the first and second supporting elements (81, 91) has a convexly spherical-shell-shaped projection and the free end of the other of the first and second supporting elements (87, 91) has a concavely spherical-shell-shaped receptacle recess, and wherein the receptacle recess is configured to receive the projection and to guide it for a pivoting movement. a base and an operating bar, wherein the base has a cleaning-element arrangement with at least one driven cleaning element (51, 61) on which engagement elements are provided, wherein the cleaning element (51, 61) is configured to engage, by way of the engagement elements provided thereon, with a floor surface to be cleaned, such that free ends of the engagement elements are arranged in a cleaning plane when engaging with the floor surface, wherein the operating bar extends along a longitudinal axis between a proximal end and an actuating end and is pivotably attached to the base via a joint in such a way that it can be pivoted in any desired directions in relation to the base, wherein the joint is configured in such a way that, when the operating bar is rotated about its longitudinal axis, a torque is exerted on the base, which torque is oriented in such a way that, as a result, the base is pivoted about a vertical axis which extends perpendicularly to the cleaning plane, wherein the joint comprises a sleeve-shaped bellows, which extends between a first and a second end (83, 85), the first end of which is connected to the base and the second end of which is connected to the operating bar, a first supporting element, which is arranged in the interior of the bellows and is attached to the base so as to point away from the latter, and a second supporting element, which is arranged in the interior of the bellows and is attached to the proximal end of the operating bar so as to point away from the latter, wherein the free end of one of the first and second supporting elements (81, 91) has a convexly spherical-shell-shaped projection and the free end of the other of the first and second supporting elements (87, 91) has a concavely spherical-shell-shaped receptacle recess, and wherein the receptacle recess is configured to receive the projection and to guide it for a pivoting movement. a sleeve-shaped bellows, which extends between a first and a second end (83, 85), the first end of which is connected to the base and the second end of which is connected to the operating bar, a first supporting element, which is arranged in the interior of the bellows and is attached to the base so as to point away from the latter, and a second supporting element, which is arranged in the interior of the bellows and is attached to the proximal end of the operating bar so as to point away from the latter, wherein the free end of one of the first and second supporting elements (81, 91) has a convexly spherical-shell-shaped projection and the free end of the other of the first and second supporting elements (87, 91) has a concavely spherical-shell-shaped receptacle recess, and wherein the receptacle recess is configured to receive the projection and to guide it for a pivoting movement.