A sleeve type fixing method for anastomosis for tubular organs, using an anastomosis device which has an inner and an outer ring. The outer ring is made of elastic material, and the inside of the lower portion of the outer ring has an inwardly protruding ring. The protruding ring is clamped to the connecting portion of the inner ring. In operation, one intestine is sleeved and fixed on the flange of the anastomosis portion of the inner ring, and the outer ring is overturned to let the lower edge overturn. Then another intestine is sleeved and fixed on the outer ring, and both the outer ring and the intestine are overturned so that the intestine is connected in the inner edge of the outer ring. Finally the inner ring is inserted and the two intestines overlapped on the anastomosis portion of the inner and outer ring.
