A capsule for beverages includes a casing made by forming a sheet of thermoformable plastic material, the casing including: a base wall and a side wall defining a cavity suitable for containing an initial product to be combined with a fluid to obtain a final product in the form of a beverage, a first opening of the cavity opposite the base wall, an edge extending from the side wall and surrounding the first opening and a second opening made in the base wall. The first opening is closed hermetically by a cover element fixed to the edge, said the cover element being perforable by an injection arrangement of a dispensing machine in which the capsule is usable. The second opening is closed hermetically by a closing element) suitable for tearing when pressure inside the cavity exceeds a predetermined value. The capsule further includes a chamber placed opposite the base wall with respect to the cavity, the chamber being able to communicate with the cavity through the second opening, when the closing element tears, the chamber being provided with an outlet opening, made in the center of a bottom wall opposite the base wall. Inside the chamber a damping element is arranged that can communicate with the cavity through the second opening, when the closing element tears, the damping element being sized in such a manner as to prevent the occurrence of the water hammer phenomenon at the moment of tearing of the closing element, or at least to reduce considerably the intensity of the pressure waves generated by the phenomenon, the damping element acting also as a resting element for the closing element when the latter is deformed through the effect of a pressure increase inside the cavity.