The invention relates to a packing assembly for a material exchange column, comprising at least one structured packing plate and a container in which the at least one structured packing plate is arranged. The at least one structured packing plate has packing packets. Each packing packet has interconnected packing sheets. The packing sheets are corrugated and have corrugation peaks and corrugation valleys. Adjacent packing sheets contact each other at the corrugation peaks. Additional corrugated packing sheets are added between the packing packets such that the at least one packing plate is pretensioned against the container in a radial direction thereof. Both the corrugated packing sheets of the packing packets as well as the additional corrugated packing sheet added between the packing packets are arranged solely on a common preferred plane or parallel thereto.