The instant invention is directed to large waterborne, towed flexible fluid containment vessels for the transportation of cargo comprising a fluid or fluidisable material and a method of fabricating the vessels. The flexible fluid containment vessel includes an impervious, elongated flexible tubular structure comprised of fabric having a first circumference. The vessel also includes a sealed front end and rear end and a means for filling and emptying the vessel of cargo. The front end or the rear end of the tubular structure is formed by weaving, knitting or braiding in such a manner to have a taper that terminates in a second circumference that is less than the first circumference.