Abstract: Products consisting, for example, of stacks of articles having a flattened shape, such as sanitary articles, are packaged inside the corresponding bags, by providing a device which keeps the aforesaid bags open while a pusher element is pushing the products inside the bags. Once the pushing movement has been completed, the bags containing the products are left free to advance towards a closing station, thus disengaging the pusher element. In this way, the aforesaid pusher element is prevented from advancing inside the closing station and from being subsequently backed off from the said station. Preferably, the closing station is made by means of an orientable structure, which enables sealing lines of the packages to be made that are oriented both in the horizontal direction and in the vertical direction, so adapting to the orientation of the bags fed onto the device.