The packaging includes a container provided with an opening at the top and bounding a housing designed to receive the product, a lid designed to close the opening of the container and a deformable membrane borne by the lid to ensure the leak-tightness of the housing when the lid is in a closed position. The deformable membrane includes a generally flexible central wall surrounded by a generally rigid annular rim which is urged in the axial direction of closure by spring element bearing on a base of the lid such that the annular rim bears in a leak-tight manner on an annular bearing surrounding the opening of the container when the lid is in the closed position and the central wall may be deformed as a result of the differences in pressure prevailing on either side of the deformable membrane. The packaging may be used in particular for cosmetic preparations.