Lid for a container (213, 313) for cooking food, - said lid being of the type suitable for resting on a free edge (213A, 313A) of said container, - said lid comprising: - a covering element (202, 302, 602), - a shaped element (230, 330, 630), - and connecting means (236, 336, 636) suitable for connecting together said two elements, - said shaped and covering elements are configured so as to allow them to move between: ∘ a first closure operating position of the lid, in which said two elements of the lid combine to close the cooking container on which the lid rests, ∘ and a second opening operating position of the lid, suitable for allowing venting of the container when the lid rests thereon and to prevent the escape from the container of cooking fluids, - at least one thermal actuator (210, 310, 610) suitable, on reaching a first pre-set temperature, for automatically moving the covering element (202, 302, 602) with respect to the shaped element (230, 330, 630) to bring the latter in said opening position, so as to allow venting of the container when the lid is placed upon it; - characterized in that the shaped element (230, 330, 630) comprises: an outer ring (231, 331, 631) suitable for resting on the edge (231, 331) of the container (213, 313), radial arms (232, 332) suitable for connecting said ring with a central connecting element (233, 333, 633) and a plurality of through openings (234, 334) suitable for being closed or left opened by the covering element (202, 302, 602), when this latter is respectively in closure or opening position. - said lid being of the type suitable for resting on a free edge (213A, 313A) of said container, - said lid comprising: - a covering element (202, 302, 602), - a shaped element (230, 330, 630), - and connecting means (236, 336, 636) suitable for connecting together said two elements, - said shaped and covering elements are configured so as to allow them to move between: ∘ a first closure operating position of the lid, in which said two elements of the lid combine to close the cooking container on which the lid rests, ∘ and a second opening operating position of the lid, suitable for allowing venting of the container when the lid rests thereon and to prevent the escape from the container of cooking fluids, ∘ a first closure operating position of the lid, in which said two elements of the lid combine to close the cooking container on which the lid rests, ∘ and a second opening operating position of the lid, suitable for allowing venting of the container when the lid rests thereon and to prevent the escape from the container of cooking fluids, - at least one thermal actuator (210, 310, 610) suitable, on reaching a first pre-set temperature, for automatically moving the covering element (202, 302, 602) with respect to the shaped element (230, 330, 630) to bring the latter in said opening position, so as to allow venting of the container when the lid is placed upon it; - characterized in that the shaped element (230, 330, 630) comprises: an outer ring (231, 331, 631) suitable for resting on the edge (231, 331) of the container (213, 313), radial arms (232, 332) suitable for connecting said ring with a central connecting element (233, 333, 633) and a plurality of through openings (234, 334) suitable for being closed or left opened by the covering element (202, 302, 602), when this latter is respectively in closure or opening position.