A package (1) for an object such as a preferably-sterile medical component, includes: a support element (2) provided with elements (21) for coupling the object (5) a stopper (3) that can be coupled to the support element (2) in such a manner as to define a first chamber (7) for containing the object (5), and such that a grip portion (20) of the support element (2) projects from the stopper (3) and a cover (4) that can be coupled to the stopper (3) in such a manner as to define a second chamber (8) inside which the grip portion (20) of the support element (2) extends, and such that a portion (30) of the stopper (3) coupled to the support element (2) projects from the cover (4).