Abstract: A tether system for a semisubmersible work platform which may be based on deep water, comprising a number of pontoon elements mounted in a frame configuration, upright columns and a work deck for exploitation of oil or gas fields below the sea bottom. The system comprises a sea bed anchor template, which is provided with receptacle means for tendons, running up to connectors at the work platform. The receptacle means in the sea bed anchor template are located along a circular track on which a carrier can move. The carrier has sheave means for one or more handling line for a tendon which is provided with a running collar. The connectors for the upper ends of said tendons are located at the outside of the columns.