The utility model discloses an unstacking and stacking machine. The unstacking and stacking machine comprises a rack, a lifting mechanism, and a conveying mechanism; the lifting mechanism is arranged on the lower part of the rack; the conveying mechanism is arranged on the lifting mechanism; and the upper part of the rack is provided with unstacking and stacking mechanisms which are positioned above the conveying mechanism. According to the unstacking and stacking machine, mutual inductor transfer containers can be automatically unstacked and stacked by the added unstacking and stacking mechanisms; meanwhile, added guide baffle plates can effectively prevent the mutual inductor transfer containers from sliding in the unstacking and stacking processes; and moreover, at least two lifting gears are designed for the lifting height of the lifting mechanism, and guarantee that the mutual inductor transfer containers can be accurately positioned during stacking and unstacking of the unstacking and stacking mechanisms, and the height and number of the lifting gears can be set according to the actual height and layers of unstacking or stacking of the mutual inductor transfer containers. The unstacking and stacking machine has the characteristics of simple structure, convenience in operation, low labor intensity, and the like, and warehouse inlet and outlet speed is easy to control. The unstacking and stacking machine is suitable for conveying boxes.