A packing cell for packing products in boxes includes a picking system for picking products and stacking them according to a stacking pattern, a support unit for the stacking process, with a rotatable horizontal shaft for placing a support platform in a predetermined angular position for the stacking process, and a box handling robot to transfer empty boxes towards the support unit and full boxes away from the support unit. A method includes placing the support platform in a predetermined angular position adjacent a product picking system, picking and stacking a number of products according to a stacking pattern on the support unit, and removing from the support unit, with a box handling robot, a box containing the stacked products.