Method for sterile packing and packaging of an acetabular cup for a hip prosthesis, characterized in that it comprises the steps of: a) providing a tool comprising a handle and a gripping head for gripping the cup, the gripping head being separated from said handle and adapted to be connected thereto; the gripping head includes: - a wall having a diameter slightly smaller than the diameter of the opening of the cavity of the cup and having a groove for receiving a peripheral seal, this seal projecting radially relative to said wall, and - a peripheral rim intended to bear against the edge (1 a) of the cup defining the opening of the cavity of the cup; the gripping head is adapted to be engaged in the cavity of the cup in two positions, namely: - a partially engaged position in which the seal is simply in contact with the wall of the cup with low friction and does not prevent a passage of air between it and the wall, and wherein said peripheral rim is spaced from the edge of the cup; and - a fully engaged position, in which the seal is applied against the wall of the cup and preclude the passage of air between itself and said wall, and in which said peripheral bearing rim bears against the edge (1 a) of the cup; the diameter of said wall of the gripping head is such that, in said fully engaged position, the gripping head is adapted to be tilted relative to the cup so as to unstick said joint from the wall of the cup; b) inserting the gripping head in the cavity of the cup, so that this head is in said partially engaged position; c) inserting the assembly head -cup, in this state, in a container made in airtight material; d) performing a vacuum in the container so as to produce an air vacuum between the gripping head and the cup, and e) sealing the container in this state of air vacuum. a) providing a tool comprising a handle and a gripping head for gripping the cup, the gripping head being separated from said handle and adapted to be connected thereto; the gripping head includes: - a wall having a diameter slightly smaller than the diameter of the opening of the cavity of the cup and having a groove for receiving a peripheral seal, this seal projecting radially relative to said wall, and - a peripheral rim intended to bear against the edge (1 a) of the cup defining the opening of the cavity of the cup; the gripping head is adapted to be engaged in the cavity of the cup in two positions, namely: - a partially engaged position in which the seal is simply in contact with the wall of the cup with low friction and does not prevent a passage of air between it and the wall, and wherein said peripheral rim is spaced from the edge of the cup; and - a fully engaged position, in which the seal is applied against the wall of the cup and preclude the passage of air between itself and said wall, and in which said peripheral bearing rim bears against the edge (1 a) of the cup; the diameter of said wall of the gripping head is such that, in said fully engaged position, the gripping head is adapted to be tilted relative to the cup so as to unstick said joint from the wall of the cup; - a wall having a diameter slightly smaller than the diameter of the opening of the cavity of the cup and having a groove for receiving a peripheral seal, this seal projecting radially relative to said wall, and - a peripheral rim intended to bear against the edge (1 a) of the cup defining the opening of the cavity of the cup; - a partially engaged position in which the seal is simply in contact with the wall of the cup with low friction and does not prevent a passage of air between it and the wall, and wherein said peripheral rim is spaced from the edge of the cup; and - a fully engaged position, in which the seal is applied against the wall of the cup and preclude the passage of air between itself and said wall, and in which said peripheral bearing rim bears against the edge (1 a) of the cup; b) inserting the gripping head in the cavity of the cup, so that this head is in said partially engaged position; c) inserting the assembly head -cup, in this state, in a container made in airtight material; d) performing a vacuum in the container so as to produce an air vacuum between the gripping head and the cup, and e) sealing the container in this state of air vacuum.