A coupling device having a first coupling part 3 provided with at least one projecting region, the regions of the first coupling part which project in the z direction being arranged eccentrically or centrally, and the projecting regions having conical outer surfaces formed with at least one angle relative to the z direction, the elastic regions 4 pointing in the direction of the center being formed in a radially parallel manner within the second coupling part 3. The the projecting regions of the first coupling part engage in the elastic regions 4 of the second coupling part 3 for the x-y orientation in the z direction. The second coupling part 3 is of one-piece design and can be produced in one operation.