A container for the transport and/or storage of a tissue of lentiform and/or substantially circular biological material in a sterile environment is disclosed. The container includes a first element having a substantially circular cylindrical shaped cavity for containing the tissue and a circular crown-shaped base coaxial to the cavity, wherein the diameter of the base is greater than the diameter of the cylindrical cavity, a second substantially circular shaped element having a horizontal surface and a vertical edge with an inner surface and an outer surface. The second element is couplable to the first element, so that in a coupled configuration, a closed space is defined between the horizontal surface of the second element and the cavity of the first element. A sealing means is also positioned between the first and the second element, to seal from the outside the space defined by the cavity and the horizontal surface.