A semi-submersible offshore vessel including a rectangular ring-pontoon having a first transverse pontoon section at a first end of the vessel and a parallel second transverse pontoon section at a second end of the vessel, and two parallel pontoon sections extending between the first and the second end of the vessel. Four support columns extend upwardly from respective edge-portions of the ring-pontoon to support an upper deck structure. The first pontoon section has a vertical mean cross-section area (A) which exceeds the corresponding vertical mean cross-section area (B) of the second pontoon section, and the support columns in the second column pair each has a water-plane area (F) which exceeds the water-plane area (D) of each of the support columns in the first column pair.