The invention relates to a packaging for a food product comprising a container with a receptacle closed by a lid and a jacket that surrounds the container and in contact with which the latter is mounted, and its method of manufacture.According to the invention, this lid (4) is covered with at least one element (6) for identifying the product which is pressed thereon by removal of at least one zone of the jacket of predetermined geometry and forming this element.The packaging according to the invention is manufactured by: a) filling the container by means of the said product, b) closure of the container, thus filled, by its lid, c) positioning of the jacket around the container so that this zone to be removed is located facing a predetermined location of the lid, then d) stamping (A) the jacket in this zone in order to press this element onto the lid, this element preferably being pre-spread with adhesive in order to adhere to the lid after this stamping.