A sleeve type fixing method for anastomosis for tubular organs such as for intestines, stomach, esophagus, wherein the method is achieved by an anastomosis device which comprising an inner ring and an outer ring, and said outer ring is made of elastic material, the inside of the lower portion of the outer ring has an inwardly protruding ring, said protruding ring is clamp to the connecting portion of the inner ring in operation, firstly one intestine is sleeved on the flange of the anastomosis portion of said inner ring and fixed, and overturn the outer ring so as to let the lower edge to overturn, then another intestine is sleeved on the outer ring and is fixed, then overturn both the outer ring and the intestine so that the intestine is connected in the inner edge of the outer ring, finally insert said inner ring, the
