A method of laying an off-shore pipeline (1) comprises: —installing on the seabed (3) a fixed receiving structure (4) having a redirecting device (5), —paying-out from a laying vessel (7) a pipeline (1) with the pipeline end termination device (9) vertically towards the seabed (3), —extending a damping cable (6) from the pipeline end termination device (9) through the redirecting device (5) to an underwater damping buoy (14), —connecting an underwater suspension buoy (15) to the pipeline end termination device (9), —inclining the pipeline (1) from a vertical orientation towards the horizontal orientation, using: —the suspension buoy (14) to counterbalance at least part of the weight of the pipeline end termination device (9), —the damping buoy (14) for damping the pipeline (1).