An intraluminal grafting system having a balloon catheter assembly, a capsule catheter assembly and capsule jacket assembly is used for deploying a graft having attachment means in the vessel of an animal body. The system contains a proximal capsule means and a distal capsule means, wherein the graft is disposed within the two capsule means and a removable sheath covers the graft and capsule means. The graft is comprised of a tubular member having superior and inferior ends, having attachment means with wall engaging members secured thereto. The balloon catheter is disposed within the capsule catheter to provide relative movement between the balloon catheter and the capsule catheter, whereby the graft can be removed from the capsule means. The balloon is inflated to firmly implant the graft and attachment means within the vessel. The graft and attachment means remain in the vessel after the intraluminal grafting system is withdrawn.