A coupling arrangement for a drive train of a motor vehicle includes at least one clutch which is arranged on a rotating shaft in order to couple the rotating shaft optionally with a drive element of the drive train, in which to couple the rotating shaft with the drive element, a first clutch part and a second clutch part can be brought into a form-fit engagement with each other by moving one of the clutch parts along the axis of the rotating shaft. To prevent jerks and vibrations in the drive train, a hydraulic damping device is provided which acts between the first clutch part and the second clutch part.