Closure devices and methods are provided for ligating tissue, such as the left atrial appendage. Generally, the closure devices include an elongate body, a snare loop assembly comprising a snare and a suture loop, and a shuttle connected to the snare and releasably coupled to the elongate body and retractable therein. In some variations, the shuttle may be configured to fit into the lumen. In other variations, a handle may be attached to the elongate body, and the handle may comprise a track and a snare control coupled to the track. The handle may be configured to release the shuttle from the elongate body and allow movement of the snare control along the track to retract the snare loop and the shuttle into a lumen of the elongate body.