A disc pack coupling for torque transmission between shafts has coupling discs. A locking unit is provided that maintains a contact pressure acting on the coupling discs when the disc pack coupling is closed. The locking unit has a locking part, a guide part, an actuating element, and a pressure element. The guide part is non-rotatably and non-displaceably arranged in relation to a first shaft. The locking part has a locking part axis and is rotatable about and displaceable axially relative to the locking part axis. Locking part and guide part are provided with interacting control surfaces positioned at a slant to a rotational direction of the locking part. The control surfaces are provided to move the locking part into a first and a second stop position. In the first stop position, the locking part maintains the contact pressure on the coupling discs.