A machine for making pods (2) containing products for infusion including a first roll (3) for feeding a first web (4) of filtering paper material along a predetermined path (P), a second roll (5) for feeding a second web (6) of filtering paper material along a predetermined path (P′), a station (7) for dispensing and successively placing individual charges (8) of product on the first web (4), and a joining station (11) for superposing and joining the first web (4) and the second web (6) in such a way as to form a continuous succession (12) of pods (2); the machine also includes, upstream of the dispensing station (7), a magazine (13) for successively feeding a series of elements (14) for containing the infusion product and a station (21) for forming impressions in the first web (4) and positioning the elements (14) thereon.