A claw coupling includes two coupling elements disposed in opposite relationship and having confronting end face surfaces from which claws engage alternately into one another. A pressure body ring, disposed between the two coupling elements, includes a ring element and pressure bodies which project radially outwards from the ring element and are respectively received between two adjacently disposed claws of the coupling elements. Some pressure bodies have each an axially projecting spacer with a contact surface which, when a predefined torque is transmitted via the claw coupling, is pressed against a contact surface area of the end face surface of an adjacent coupling element. The contact surface area is slanted or curved such that, in a no-load state of the claw coupling an axial distance between the contact surface of the spacer and the contact surface area of the end face surface increases in a radially outwards direction.