Abstract: The pallet stacking machine comprises a pallet housing, a pallet lifter, a control unit, and operator controls. The pallet stacking machine may be operable to lift a pallet stack so that an individual pallet may be added to the bottom of the pallet stack. The pallet stacking machine may be operable to lift a subset of the pallet stack that excludes a bottom pallet so that the bottom pallet may be removed from the pallet stack. The individual pallets comprising the pallet stack may be of one or more sizes, shapes, forms, and materials. As non-limiting examples, the individual pallets comprising the pallet stack may comprise mixed dimensions such as 48 inch×48 inch pallets and 40 inch by 48 inch pallets, may comprise a mix of two-way entry pallets and four-way entry pallets, and may comprise a mix of pallet materials.