This invention is a modular intraluminal tubular stent system for deployment in the venous system and a method of stenting a vein segment using a modular stent system. One of the stents in the system includes a reinforced terminal end portion, such as a helical coil, to provide additional expansive force to maintain the initial deployed location of the stent. The coil may be interwoven into the wall of the stent, or a separate structure deployed separately.