Abstract: A method for making a single use capsule (1) for extraction or infusion beverages includes the step of: arranging a first strip (S1) of thermoformable filtering material above rigid bodies (2); joining the first strip (S1) of thermoformable filtering material to the rigid bodies (2) at respective rims (7); forming the first strip (S1) of thermoformable filtering material to achieve a filter (8) that defines a chamber (5); filling the chamber (5) with a dose (D) of product; closing the chamber (5) and the rigid body (2) with a closing lid (6). A machine for making single use capsules (1) for extraction beverages includes: a feeding system (40); a transport system (50); a joining station (60); a forming station (70); a filling station (80); and a closing station (90).