In a destacking device comprising a stacking magazine (2), the respective lowest sheet of a stack (1) of metal sheets is destacked by way of a suction element (5, 15). This element can be moved upward and downward by way of a drive (6). At the end of the upward movement, the respective lowest metal sheet (4) of the stack (1) is gripped by suction power and pulled from the stack. A second suction element (5′, 15′) is provided, which can be moved upward and downward by way of a drive (6′) and by way of which the lowest sheet (4) of the stack (1) can be gripped at the end of the upward movement. The second suction element is driven so as to be leading with respect to the first suction element, so that the respective lowest sheet (4) of the stack (1) can first be pulled from the stack by the second suction element (5′), and subsequently by the first suction element (5). In this way, it becomes possible to destack thin sheets having a thickness of only 0.12 mm and a square shape without disruption. The stack is held magnetically in the stacking magazine, which facilitates destacking.