Abstract: An automatic plant for stacking sheet steel pressings received from a press line comprises a pivotal depositing table (5) with two depositing devices (7,8) at each of which several pressings can be deposited in the stack. Associated with each depositing device is a grab (9,10) and a storage system which comprises a turntable (17,18) with two storage devices (A,B,C,D,). The storage devices of each system are charged alternately, while the other loaded storage device is replaced by an empty storage device. When one storage device is full, the relevant turntable (17,18) is rotated through 180.degree., so that an empty storage device replaces the loaded storage device, a distributing carriage (23) common to both turntables, picks up the loaded storage devices, shifts them to a delivery station, picks up an empty storage device at a pickup station, and brings the latter to the relevant turntable to replace the loaded storage device which has previously been collected.