This packaging is for containers having each a cylindrical body and an upper surface located at or near an extremity of the body, said packaging comprising a
nest, a tub and a sealing cover; the
nest having a nesting structure to receive the containers and comprising at least one first supporting surface, to be received on at least one corresponding supporting surface of the tub, the tub having a bottom wall, lateral walls forming an upper opening, and a
peripheral flange leveled with said upper opening, for the sealing of said sealing cover thereon; said
nest includes at least one second supporting surface rigidly connected to said at least one first supporting surface and so positioned with respect to this at least one first supporting surface that this second supporting surface is located, when the nest is placed in the tub, at the level of said
peripheral flange.