The invention relates to an isolated organ perfusion system and a liver storage device. The liver storage device comprises a container body and a breathing air bag. The container body is used for containing perfusate. The breathing air bag is arranged in the container body and used for supporting an isolated organ. According to the liver storage device, the breathing air bag is additionally arranged in the liver storage device, the isolated organ is placed on the breathing air bag, breathing and inhaling of the isolated organ are simulated during perfusion, and the breathing air bag is subjected to air suction and inhaling, so the breathing air bag is continuously relaxed in the perfusion process, and the point of the contact surface of the isolated organ and the breathing air bag is correspondingly changed; and thus, blood circulation of the isolated organ can be smoother in the perfusion process, thrombus generated on the surface of the isolated organ due to long-time fixed pressureis avoided, an invalid perfusion area can be effectively eliminated, and continuous local compression necrosis is reduced.