This packaging comprises a grouping nest (5) for receiving the syringes (2) a packaging tub (6) and a sealing cover (8) for sealing this packaging tub. According to the invention the packaging comprises a plate (7) intended to be positioned closed to the flanges (2a) of the syringe bodies (2) before sealing of the tub (6) this plate (7) comprises at least a first surface (7a) intended to be placed in contact with the flanges (2a) and at least a second surface (7b) located on the side of the cover plate (7) opposite this first surface (7a) the distance between said first surface (7a) and said second surface (7b) being chosen in such a way that when the first surface (7a) lies against the flanges (2a) the second surface (7b) is in contact or in close proximity of the said sealing cover (8).
