A self-sealing vascular graft with kink resistance is described. The vascular graft includes a substrate that can be ePTFE, having a self-sealing region that may include several layers of material. The central section of the vascular graft may be constructed differently from surrounding self-sealing regions, in order to provide kink resistance following the clamping of the graft. Also described is a graft with a flared cuff attached to one or both ends, the attachment or transition region including reinforcement beading.