A stent-graft comprising an expandable stent and a plurality of graft segments, each graft segment having a first end attached to the stent and a second end not attached to the stent. In one embodiment, the plurality of overlapped graft segments form a continuous conduit wherein each overlap between axially adjacent graft segments comprises a fluid-tight seal when the stent in the radially expanded configuration sandwiches the graft segments against a wall of a body lumen. In another embodiment, there are one or more discontinuities in the plurality of graft segments. The discontinuities may be aligned with branch lumens. The graft segments may be cut perpendicular to the stent-graft axis, or on a bias. A delivery system for and method of deploying the stent-graft are also claimed.
