This packaging (1) for medical containers, comprising a tub (2) having a peripheral wall (2a), a sealing cover (3) sealable on an opening (6) of the tub (2) and a sealing envelope (4) able to protect the sealing cover (3).According to the invention, said sealing envelope (4) comprises:- a lower sealing part (4b), havinga frame (4b) able to be sealed to the peripheral wall (2a) of the tub (2), anda bonding surface (4b") that extends outwards from the frame (4b), and- an upper sealing part (4a) sealed on said bonding surface (4b") to enclose the opening (6) of the tub (2) and said sealing cover (3).
