A beverage capsule machine for making single use capsules (1) for infusion beverages such as coffee, milk, chocolate, tea or combinations of these ingredients, comprises: a transport element (8) for transporting the components of the capsule (1) and being closed in a loop around movement means (9); the transport element (8) is configured to define a plurality of pockets (10) for receiving the components of the capsule (1) and which are positioned one after the other, in succession; a plurality of stations which are positioned along a path (P) followed by the transport element (8) and which are configured for operating continuously in phase with the same transport element (8) and comprising at least: a feed station (11) for feeding rigid containers (2) into respective pockets (10) of the transport element (8); a dosing station (12) for dosing the product into the rigid container (2); a closing station (13) for closing the rigid container (2) with a length of sheet (7); an outfeed station (14) for the capsule (1).