This paper conducts research on the offshore construction of floating wind turbine mooring systems， identifies key issues in the construction process， addresses offshore construction challenges， ensures safe and efficient installation， achieves high-quality deployment， and provides technical references for domestic floating wind power projects. Focus on the four key issues of precise penetration of suction anchors， accurate laying of anchor chains， rapid reconnection of floating bodies， and precise tensioning of moorings， conduct comprehensive process research， formulate construction plans relying on full-slewing crane ships， and make detailed technical preparations. The precise penetration of the suction anchors was achieved， and the anchor chains were laid along the route without torsion. Finally， the position of the floating body， draft depth， and anchor chain tension all met the design requirements， and the mooring system operated stably. The construction technology formed by the research can ensure the offshore construction of floating wind turbines， save project costs， and improve the domestic floating wind power construction.