A claw coupling includes two coupling elements having claws which engage alternately into one another and have confronting concave claw surfaces configured to follow a first circular track. Disposed between the coupling elements is a pressure body arrangement having pressure bodies respectively received between the claws of one coupling element and the claws of the other coupling element. The pressure bodies have convex pressure body surfaces which engage during a torque transmission with the claw surfaces of the claws. Each pressure body surface is configured to follow a second circular track, with the radius of the first circular track and the radius of the second circular track touching one another at a radially innermost point of the claw surface which is disposed on a common straight line having a center point of the first circular track and a center point of the second circular track.