A floating construction having a base, a tensioning member extending from the sea bed in the direction of the base, a connector at an upper end of the tensioning member and attachment elements on the base for attaching to the connector, characterized in that, the attachment elements include a guide member for lowering a tensioning member section by a predetermined distance, which tensioning member section at a free end is provided with a complementary connector for attaching to the connector on the upper end of the tensioning member, the tensioning member section including at an upper end a stopper for engaging with the base and for fixing and/or adjusting the upper end in a vertical direction, the floating construction including a pulling device attached to the tensioning member section, for lowering the tensioning member section along the guide member towards the tensioning member.