A container or package for pizzas, made of thermoplastic material, including a cover (1) and a dish or plate (2), wherein the cover (1) has a plurality of first holes (8) arranged centrally and a plurality of second holes (6) arranged along its circumference or circular edge (or in the neighborhood of the latter). Several radial channels (11) interconnect these two pluralities of holes (6 and 8). Preferably, the container (1, 2) is transparent; thereby allowing to recognize the kind of food it contains.