Transjuguler Intrahepatic Portosystemic Shunt (TIPS) is one of effective surgeries for portal hypertension. A lumped parameter mathematical model of the splanchnic circulation was presented to study TIPS hemodynamics. Firstly the hemodynamics parameters of portal Hypertension were calculated according to both Back word Mechanism and Forword Mechanism. Then the hemody nanmics parameters of portal system after TIPS were calculated. The variation of these hemodynamics parameters with cirrhosis and effection of TIPS shunt resistance on it were analysised. It is shown that the results were accord with clinical measurement, and the model presented in this paper can be applied to hemodynamics mechanism study of portal hypertension and other shunt surgeries,and can supply information for clinical application.