The present invention is a capsule-sealing machine that uses a heat-sealing process to apply sterile aluminum blank capsules on food or drink containers or cans, preferably cylindrical in shape but also square, rectangular or oval. The machine includes a conveyor belt that conveys cans to the machine, a loading carousel, a main carousel, where the blank capsules or can covers are sealed onto the cans, an unloading carousel, and an outfeed conveyor belt. The blank capsules are contained in vertical capsule magazines. A series of suction cups removes the blank capsules from the magazines and passes them to another series of suction cups located inside sealing heads of the main carousel. In the main carousel, the cans are raised by the elevating units and come into contact first with the blank capsules and then with the corresponding sealing head.