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), having a frame (4b) able to be sealed to the peripheral wall (2a) of the tub (2), and a 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).
