A damping device for a hatch in a military vehicle used during its closing and opening, said hatch being integral with hinges hinged with respect to an interface, wherein said device comprises a tubular body integral with the hinges and hinged between two bearings integral with the interface, said body enclosing two fixed damping means between which a rod is positioned, said rod being mobile in translation to activate one of the damping means during the opening of the hatch and the other damping means during the closing of the hatch.