A cable fairing (fairing) (40) for reducing the flow resistance for a cable (45) has a wing formed cross section with a wide, rounded front and a tapered tail, a through-going cable channel (46) for the cable (45) perpendicular to the cross section of the widest part of the cross section. The wing profile comprises an elastic material of sufficient stiffness to maintain the shape when it is towed thereby causing flow resistance. The cable fairing (40) has slots (42) cut into the elastic material from the tail towards the cable channel (46), so that the tail comprises slats (41) which can be bent parallel to the cable channel (46) to reduce the cross-section of the cable fairing. By this is low flow resistance, as from a stiff cable jacket, combined with sufficient elastic deformability so the cable (45) with attached cable fairings (40), can be winched and pass through narrow openings in the deployment and retrieval, and wound onto a reel for storage and transport.