Container (1) for the object, such as a medical part, preferably sterile, comprising the said container: - a support element (2) provided with means (21 22, 23 24, 25 26) for coupling said object (5) in the said support element (2), said means for coupling deactivatable to permit gripping of said object - a first protection element (3) hollow, called plug attachable to the support (2) of said object (5), preferably by engagement with partial coating, so that the support member (2) present a portion (20), called grip portion, which extends projecting from said cap (3), delimiting the said support element (2) by itself or in cooperation with the cap (3) a first chamber (7) including said object, - a second protection element (4) space, called cover being attachable indicated cover (4) with the cap (3), preferably by engagement with partial coating, in order to define in cooperation with the indicated stopper (3) a second chamber (8) inside of which said grip portion (20) of the support element (2) extends, characterized in that, in the coupled state of the cover (4) the plug (3), a part (30), called gripping portion, the cap (3) ex tends projecting from the cover (4).Envase (1) para objeto, tal como una pieza médica, de preferencia esterilizada, comprendiendo el indicado envase: - un elemento de soporte (2) provisto de medios (21 22, 23 24, 25 26) para el acoplamiento de dicho objeto (5) en el indicado elemento de soporte (2), siendo los indicados medios para el acoplamiento desactivables para permitir el agarre de dicho objeto - un primer elemento de protección (3) hueco, llamado tapón, acoplable al elemento de soporte (2) de dicho objeto (5), de preferencia por encajamiento con recubrimiento parcial, de tal forma que elemento de soporte (2) presente una parte (20), llamada parte de agarre, que se extiende en saliente desde dicho tapón (3), delimitando el mencionado elemento de soporte (2) por si solo o en cooperación con el tapón (3) una primera cámara (7) que inclu