A multi-component stent-graft assembly for repairing a lesion in a blood vessel, preferably a thoracic dissecting aneurysm, the assembly comprising a frame stent that is affixed to the vessel, in the healthy portions of the vessel and extending along the entire lesion of the vessel, and a stent-graft which is affixed against the inside of the frame stent, the stent-graft being located at the desired locations within the affected portion of the vessel no matter the vessel wall is in conditions to retain the stent-graft, because the retention will be provided by the frame stent.