An apparatus for transferring and accepting glass substrate plates includes a double fork gripper having two superimposed, individual fork grippers that are movable relative to one another perpendicular to their extension planes. The fork grippers may be inserted simultaneously therewith into a receiving station having at least two depositing planes so that relative movement of the individual fork grippers perpendicular to their extension planes transfers a glass substrate plate to the receiving station and receives another plate from the receiving station.