Disclosed is a device and a method for storing and transporting at least one human or animal tissue with a view to transplantation or ex vivo experimentation. The device can store such tissue in a specific storage medium until the transplantation or the ex vivo experimentation, and in particular to storing a sample of human or animal cornea, such as a corneal graft. This device for storing at least one human or animal tissue comprises at least one chamber which is suitable for receiving and storing the tissue in a liquid storage medium and which comprises means for continuous renewal of the medium in said at least one chamber. The device additionally comprises means for adjusting at least one physicochemical parameter of said medium, including its pH, by continuous circulation of a buffer gas in said at least one chamber outside of and in contact with said medium.
