A device for the storage of a cornea specimen comprising means for the reception and entrapment of the cornea specimen, connected to means for the creation of a pressure gradient with overpressure on the endothelial side and to preservation liquid circulation means in layouts that present the means for the reception and entrapment of the cornea specimen, wherein: - the reception means comprises a first section, called intermediate component which comprises a hole of the diameter of the cornea surrounded by a circumferential groove and an edge forming a cavity intended to receive the cornea specimen, said cavity ensures that the cornea specimen is correctly centered during its insertion in the device and allows said cornea specimen to remain stable during the opening of the device at the operating theater; - the entrapment means comprises a second section, called endothelial lid which comprises a hole of the diameter of the cornea surrounded by an edge intended to trap the cornea specimen by crushing the sclera ciliary zone on the circumferential groove of the intermediate component; - the device comprises a third section, called epithelial lid; - the means for the reception and entrapment of the cornea specimen are adapted to entrap the sclera ciliary zone surrounding the cornea in a tight manner to delimit an endothelial chamber and an epithelial chamber separated in which the preservation medium can circulate with an overpressure in the endothelial chamber; - the endothelial chamber is composed of a space formed between the endothelial lid and the intermediate component, after a tight connection of said endothelial lid with said component; - the epithelial chamber is composed of a space formed between the intermediate component and the epithelial lid, after connection of said epithelial lid with said component; - the intermediate component and the endothelial lid comprise inlet (7a, 11a) and outlet (7b, 11b) orifices for the preservation medium which are connected to the means for the circulation of the preservation medium and the creation of the pressure gradient between endothelial chamber and epithelial chamber with overpressure in the endothelial chamber. - the reception means comprises a first section, called intermediate component which comprises a hole of the diameter of the cornea surrounded by a circumferential groove and an edge forming a cavity intended to receive the cornea specimen, said cavity ensures that the cornea specimen is correctly centered during its insertion in the device and allows said cornea specimen to remain stable during the opening of the device at the operating theater; - the entrapment means comprises a second section, called endothelial lid which comprises a hole of the diameter of the cornea surrounded by an edge intended to trap the cornea specimen by crushing the sclera ciliary zone on the circumferential groove of the intermediate component; - the device comprises a third section, called epithelial lid; - the means for the reception and entrapment of the cornea specimen are adapted to entrap the sclera ciliary zone surrounding the cornea in a tight manner to delimit an endothelial chamber and an epithelial chamber separated in which the preservation medium can circulate with an overpressure in the endothelial chamber; - the endothelial chamber is composed of a space formed between the endothelial lid and the intermediate component, after a tight connection of said endothelial lid with said component; - the epithelial chamber is composed of a space formed between the intermediate component and the epithelial lid, after connection of said epithelial lid with said component; - the intermediate component and the endothelial lid comprise inlet (7a, 11a) and outlet (7b, 11b) orifices for the preservation medium which are connected to the means for the circulation of the preservation medium and the creation of the pressure gradient between endothelial chamber and epithelial chamber with overpressure in the endothelial chamber.