An anchoring system using hollow piles connected with a cap, the hollow piles open at the top and closed at the bottom. A skirt extends from the cap. In use, the anchoring system is lowered to an ocean floor and a suction element removes water and ocean floor material from under the cap to lower the anchoring system into the ocean floor. Flexible walls at closed ends of the hollow piles may provide pressure differentials separating the undersea pressure to which the interiors of the hollow piles are exposed from air chambers at the closed ends of the piles at substantially lower pressures.