An abdominal cavity-vein shunt stent provided for transporting ascites accumulated in the abdominal cavity of a patient to a vascular system, includes: a stent body which extends cylindrically long and which has one end disposed in the intrahepatic vein, and the other end piercing the liver parenchyma and disposed in the abdominal cavity and a one-way valve which is disposed in the stent body, which is opened to drain ascites into the intrahepatic vein when a differential pressure obtained by subtracting the pressure of the intrahepatic vein from the pressure in the abdominal cavity is not lower than a predetermined value, and which is closed when the differential pressure is lower than the predetermined value.