Abstract: The invention relates to a machine for automatic, rhythmic wrapping of heat-shrinkable sleeves around containers, from a hopper where the sleeves are stacked flat to a device for continuous shrinking of these sleeves.The machine comprises in particular: means for extracting the sleeves one by one from the hopper, causing them to open very slightly; means for opening each sleeve substantially into a semicircle, then conveying it to a vertical plane above a conveyor for the containers to be wrapped; means enabling the sleeve to receive its final circular form, then to be placed gradually around the container to be wrapped.Application to wrapping sections of preprinted or decorated shrinkable plastic sections of sheathing and bracelets around various containers such as bottles, food and aerosol cans, etc.