A method for perfusing a biocompatible material graft with a perfusion liquid includes the steps of: introducing the graft (100) in a perfusion chamber (2), arranging a transfer chamber (3) partly filled with the perfusion liquid (101), coupling in a tight manner the perfusion chamber (2) and the transfer chamber (3) for establishing a fluid communication between them, lowering the pressure in the transfer chamber (3) for transferring therein part of the air existing in the perfusion chamber (2), increasing the pressure within the transfer chamber (3) for injecting in the perfusion chamber (2) the perfusion liquid (101) existing in the transfer chamber (3). A perfusion kit includes a perfusion chamber (2) apt to contain a graft (100) to be perfused with a liquid (101) and a transfer chamber (3) apt to contain a liquid (101) to be perfused, the perfusion chamber (2) being connectable in a tight manner with the transfer chamber (3) for allowing a fluid exchange between the two chambers (2, 3) and inhibiting a fluid exchange between the two chambers (2, 3) and the external environment.