A ligature delivery device includes a control member, an elongated shaft, and an end effector attached to the distal end of the elongated shaft. An activation mechanism provides an user-operable connection between the control member and the end effector. In several embodiments, the end effector includes a reverse grasping mechanism. Several embodiments of ligature devices are adapted to be deployed endoscopically and/or translumenally using the reverse-grasping delivery device.