The invention relates to a packing structure (1) for a fluid exchange column, the packing structure defining an exchange surface for at least one down-flowing liquid phase that is to be put into intimate contact with at least one up-flowing gas phase, the structure including a volume formed by a plurality of rows of bundles of tubes (10), each bundle having four tubes (10a-10d) respectively oriented along four directions (D10a-D10d) forming an angle relative to the axis of the structure, the plurality of tubes forming a plurality of passages opening out to the outside surface of the structure (1).