An apparatus for making containers which comprise a supporting skeleton and a layer of thermoformable material coupled to the supporting skeleton, comprising: a supporting structure; a motor-driven rotor mounted on the supporting structure and rotatable around a main axis of rotation; a thermoforming device comprising a supporting unit and a closing unit, the supporting unit being mounted on the rotor and the closing unit being mounted on the supporting structure in such a way that it is stationary relative to the rotation of the rotor; a feeding device for feeding to the supporting unit, a first article for making the supporting skeleton; a positioning device for positioning a sheet of thermoformable material between the supporting unit and the closing unit; and an extracting device configured to extract the containers from the supporting unit; wherein: the rotor is configured to rotate in a stepping fashion to position the supporting unit at a plurality of predetermined angular positions one after another, which are distributed around the main axis of rotation; the feeding device, the closing unit and the extracting device are distributed around the main axis of rotation; the feeding device is configured to feed a first article to the supporting unit, when the supporting unit is at a loading predetermined angular position; the extracting device is configured to pick up a container from the supporting unit, when the supporting unit is at an unloading predetermined angular position; when the supporting unit is positioned in a thermoforming predetermined angular position, which is intermediate between the loading predetermined angular position and the unloading predetermined angular position, at least one of either the closing unit or the supporting unit is movable relative to the other between a disengaged position in which they are spaced apart and allow the rotation of the rotor, and an operating position in which they are coupled for thermoforming the sheet of thermoformable material on the first article; and the positioning device is configured to position the sheet of thermoformable material between the supporting unit and the closing unit, when the supporting unit and the closing unit are in the disengaged position and before they adopt the operating position. a supporting structure; a motor-driven rotor mounted on the supporting structure and rotatable around a main axis of rotation; a thermoforming device comprising a supporting unit and a closing unit, the supporting unit being mounted on the rotor and the closing unit being mounted on the supporting structure in such a way that it is stationary relative to the rotation of the rotor; a feeding device for feeding to the supporting unit, a first article for making the supporting skeleton; a positioning device for positioning a sheet of thermoformable material between the supporting unit and the closing unit; and an extracting device configured to extract the containers from the supporting unit; the rotor is configured to rotate in a stepping fashion to position the supporting unit at a plurality of predetermined angular positions one after another, which are distributed around the main axis of rotation; the feeding device, the closing unit and the extracting device are distributed around the main axis of rotation; the feeding device is configured to feed a first article to the supporting unit, when the supporting unit is at a loading predetermined angular position; the extracting device is configured to pick up a container from the supporting unit, when the supporting unit is at an unloading predetermined angular position; when the supporting unit is positioned in a thermoforming predetermined angular position, which is intermediate between the loading predetermined angular position and the unloading predetermined angular position, at least one of either the closing unit or the supporting unit is movable relative to the other between a disengaged position in which they are spaced apart and allow the rotation of the rotor, and an operating position in which they are coupled for thermoforming the sheet of thermoformable material on the first article; and the positioning device is configured to position the sheet of thermoformable material between the supporting unit and the closing unit, when the supporting unit and the closing unit are in the disengaged position and before they adopt the operating position.