A method for laying a pipeline on the bed of a body of water comprises assembling a pipeline on a laying vessel; launching the pipeline from the laying vessel; identifying a zone of the bed of the body of water that causes stresses greater than a threshold value determined for the pipeline; progressively laying the pipeline on the bed of the body of water by advancing the laying vessel; and making, through controlled plastic deformation, at least one curved section along the pipeline with a curvature concordant with the curvature assumed by the pipeline in proximity to said zone, when the pipeline is at least partly laid on the bed of the body of water and partly suspended with respect to the bed of the body of water in proximity to said zone.