A method of laying a submerged pipeline on the bed of body of water along a path which crosses a ditch in said bed in which there is a current transverse to said pipeline, the depth of the body of water being at a maximum in said ditch, which comprises integrally associating with said pipeline at least one continuous ballast tube extending over the whole length of said pipeline, drawing said pipeline with said ballast tube from a position on shore towards open water along the bed of the body of water , so that a portion of said pipeline and associated ballast tube lies within said ditch, filling said ballast tube partly with air and partly with water which collects in the part of said ballast tube located in said ditch and remains in that position as the ballast tube moves forward as the pipeline is drawn towards open water, whereby the apparent weight of the pipeline is increased solely with respect to the portion of said pipeline located for the time being in said ditch and thus its resistance to the current in said ditch transverse to said pipeline.