A method and a device for forming stacks of packages by stacking infusion bags is disclosed. In one example, the method includes removing an individual infusion bag from a conveying stretch, on which individual infusion bags are fed, to a removal station. The individual infusion bags, guided by a vertically movable push-in device in a stacking stroke of said push-in device, are transferred into a buffer storage chute of said stack holding device. In a transfer stroke of said push-in device, which is greater than said stacking stroke, an infusion bag completing said stack of packages is raised off of said conveying stretch and transferred into a cartridge storage chute of said stack holding device.