Abstract: This invention relates to a mooring method and system and includes a process of deploying and retrieving anchors, each anchor being attached by a long mooring line to a floating moored structure.For deploying an anchor at the end of a very long mooring line, a work boat reels out its service line. A remote release hook is attached to the end of the service line. A short pendant line preferably couples the hook to the anchor. A small buoy is desirably attached to the pendant line to maintain it erect. After deploying the mooring line and setting the anchor, the hook is remote released to thereby free the service line from the short pendant line.For retrieving an anchor, a submerged remote-operated catch hook is towed at the end of the service line in a direction intersecting the mooring line. The catch normally closes the hook. When the hook's movable catch engages the mooring line, the catch moves away from its normally-closed position, thereby allowing the hook to capture the mooring line.