Abstract: For coupling and decoupling gripper rail parts in a transfer press, clamping means with a clamping bolt movable in its axial direction and rotatable about the same are arranged in the end parts. The clamping bolt engages with a clamping anchor behind a clamping surface in the end part to be coupled. Centering means for the mutual alignment of the gripper rail parts and of coupling device for the lines taken along at the gripper rail parts are movable along with the clamping bolt. The closing of the coupling devices in the line leading to the clamping means takes place sequentially. The movements of the clamping bolts after the closing of the coupling devices can take place at the same time.