The invention relates to a device for the perfusion of a human liver graft, which includes: (a) an upper tray which includes a container suitable for holding a liver graft in an inverted position with respect to the normal anatomical position, in contact with a preservative solution, an arterial perfusion circuit, and a portal perfusion circuit, separate from said arterial perfusion circuit and (b) a lower console, which supports said tray and which includes a means for sending or supplying said preservative solution, a means for supplying power, a means for temperature control, a means for supplying oxygen, a means for controlling the flow rate and pressure, said tray and console being connected in a secure, removable manner, wherein said means for temperature control maintain the temperature of the liver graft between 0 ºC and 40 ºC.