A capsule for making beverages comprising at least one powdered food substance which can be extracted using water to make a beverage, comprises a cup-shaped outer body (2) with a lower wall (3) and a first side wall (4), a lid (6), a filtering body (9) comprising a first basket-shaped rigid or semi-rigid skeleton (10) with a second side wall (11) and a bottom portion (12); the first rigid or semi-rigid skeleton (10) comprises openings (13) made at least through a part of the second side wall (11) which is distanced from the first side wall; the filtering body (9) also comprising at least one layer (26) of flexible filtering material applied to the rigid or semi-rigid skeleton (10) for in use intercepting the beverage which comes out of at least some openings (13) of the filtering body (9) and flows towards the bottom wall (3) and for filtering said beverage.