A damping bushing is provided for an axle bearing of a trailing arm of a torsion-beam rear axle for a motor vehicle, in particular for an automobile, which includes, but is not limited to a bushing outer sleeve, a bushing inner sleeve, and a damping body. The interposed damping body is disposed coaxially to the bushing outer sleeve and to the bushing inner sleeve between these two elements. The bushing inner sleeve forms a radially outwardly extending spherical surface and the damping bushing has at least one further element that abuts extensively against the spherical surface formed by the bushing inner sleeve. Furthermore, a torsion-beam axle is provided that is fitted with these bushings.