Abstract: Floating construction (1) having a base (2), a tensioning member (17, 18) extending from the sea bed in the direction of the base, a connector (27, 28) at an upper end (16,19) of the tensioning member and attachment means on the base for attaching to the connector, characterized in that, the attachment means comprise a guide member (14, 15) for lowering a tensioning member (12, 13) section by a predetermined distance (D2), which tensioning member section at a free end (23, 24) is provided with a complementary connector (25, 26) for attaching to the connector on the upper end of the tensioning member, the tensioning member section comprising at an upper end a stopper (31, 32) for engaging with the base and for fixing and/or adjusting the upper end in a vertical direction, the floating construction comprising a pulling device (36, 37, 38, 39) attached to the tensioning member section, for lowering the tensioning member section along the guide member towards the tensioning member.