This sterile packing (1) includes:—a container (3) for containing at least an object (2) to be sterilized by at least a sterilizing fluid, said container (3) including at least a first opening (10)—at least one first membrane (16) made in a material porous to the sterilizing fluid but non-porous with respect to microbial contamination, said at least one first membrane (16) being sealed at said at least a first opening (10) of the container (3), after filling of the container (3) with the object (2) so as to close said at least a first opening (10)—at least one second membrane (22) made in a flexible and airtight material, said second membrane (22) being sealed at said at least first opening (10) of the container (3), after installation of said first membrane (16), the sealing of said second membrane (22) being carried out at a pressure higher than the atmospheric pressure, so that said second membrane (22) is curved when the packing (1) is brought back to the atmospheric pressure.
