Carvedilol has been shown to be more potent in decreasing portal hypertension than propranolol. But the efficacy of carvedilol to prevent esophageal varices progression in nucleoside analogue (NUCs) treatment HBV related cirrhotic patients was unclear. Previous RCT study aimed to explore the effects of carvedilol for the prevention of the esophageal varices progression on HBV cirrhotic patients with anti-viral therapy has been conducted (NCT03736265). Patients who have completed 2-years treatment in RCT Study of carvedilol will receive another 2-years extension therapy, aiming to investigate the long-term efficacy of carvedilol for the prevention of esophageal varices in treated HBV cirrhotic patients. Patients were allocated according to the outcome of EDGs at 2-year during RCT study. Patients will be assessed at baseline and every six months for blood cell count, liver function test, HBVDNA, AFP, prothrombin time, liver ultrasonography, and Fibroscan. A third EGDs will be performed at 4-year.