<p>The tubular banding applicator converts a flat tubular material into a cut length expanded tubular material and mounts the same circumferentially on a container. A driver moves a selected length of flat tubular material from a supply station, around a spreader, and into a hollow former having a retaining gate at the exit thereof. A cutter severs the selected length of opened tubular material from the supply station and a flow of air directed at a side of the flat tubular length assists in opening the sleeve. A conveyor carries a series of containers along a path to a position in alignment with the opened tubular sleeve. The driver moves a second selected length of flat tubular material from the supply into the former, thereby ejecting the first open sleeve from the former onto a container aligned below. The sleeve is subsequently caused to shrink to securely enwrap the container.</p>