A package for an object such as a preferably-sterile medical component, includes: a support element provided with elements for coupling the object; a stopper that can be coupled to the support element in such a manner as to define a first chamber for containing the object, and such that a grip portion of the support element projects from the stopper; and a cover that can be coupled to the stopper in such a manner as to define a second chamber inside which the grip portion of the support element extends, and such that a portion of the stopper coupled to the support element projects from the cover.