A capsule for making beverages comprising a main body (49), an upper lid (50), at least one filter (51) and a powdered food substance (2) contained in the main body (49), wherein the main body (49) is cup-shaped and comprises a bottom wall (52), a lateral wall (53), and an upper flange (54), wherein the upper lid (50) is fixed to the upper flange (54), wherein the filter (51) is mounted in the main body (49) between the powdered food substance (2) and the bottom wall (52), wherein the filter (51) comprises a first filtering element (56), rigid or semi-rigid, equipped with a plurality of through openings and a second, flexible filtering element (57) coupled to the first filtering element (56) and positioned between the first filtering element (56) and the second powdered food substance (2), and wherein at least part of the bottom wall (52) has a resistance to tearing which is less than that of the lateral wall (53).