A device and method for ligating diseased tissue. The device includes a flexible, substantially tubular sleeve adapted to be positioned around tissue to be ligated and having first and second ends, and at least one anchoring member coupled to the tubular sleeve having an anchoring element positioned substantially adjacent to the first end. The anchoring member has at least one projecting element extending therefrom and adapted to engage healthy tissue when the ligation device is positioned around the tissue to be ligated. The device further includes an elastic element positioned around the periphery of the sleeve and adapted to apply a constrictive force around the periphery of the sleeve.