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 comprises an inner ring and an outer ring, said outer ring being made of elastic material, the inside of the lower portion of the outer ring having an inwardly protruding ring, said protruding ring being clamped 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 then the outer ring is overturned, so as to let the lower edge to overturn then another intestine is sleeved on the outer ring and is fixed then both the outer ring and the intestine are overturned, so that the intestine is connected in the inner edge of the outer ring and finally said inner ring is inserted, the two intestines being overlapped on the anastomosis portion of the inner ring and the outer ring.
