A clutch arrangement includes a first shaft, a second shaft arranged coaxially to the first shaft, and a clutch for connecting the first shaft to the second shaft without play. An axis of rotation is defined in accordance with the two shafts, a circumferential direction is defined around the axis of rotation, and a radial direction is defined perpendicularly to the axis of rotation. In addition, the clutch includes at least one displacement element and at least one clutch element which is displaceable relative to the two shafts in the circumferential direction and/or in the radial direction, and wherein the displacement element is designed to press the clutch element against the first and/or second shaft without play in the circumferential direction and/or in the radial direction in order to compensate for play between the two shafts in circumferential direction and for inevitable manufacturing tolerances of axial and angular offsets of the two shafts.