A stinger extends away from an end of a vessel, and a pipeline passes over the stinger as the pipeline is laid from the vessel. The inclination of the pipeline increases as the pipeline passes along the stinger and after leaving the stinger until the pipeline reaches an inflection point beyond the end of the stinger at which inclination is at a maximum. Inclination of the pipeline thereafter reduces until the pipeline touches down on the seabed. A method of S-laying the pipeline includes providing guides on the stinger that limit lateral movement of the pipeline relative to the stinger and moving the vessel and the stinger during S-laying to an orientation in which the longitudinal axis of the stinger is inclined to the path of the pipeline just laid. The vessel and the stinger are rotated about a vertical axis passing through or adjacent to the inflection point.