An aortic stent-graft capable of avoiding migration of location, which includes a covered stent body and a bare stent connected to a proximal end of the covered stent body, with barbs for looseness-proof fixation which are provided at each wave crest and each wave trough of the bare stent and extend towards a distal end of the covered stent body. After the aortic stent-graft is fastened by the looseness-proof fixation structures, because the barbs arranged at each wave crest of the bare stent are not on the same plane with the barbs arranged at each wave trough of the bare stent, simultaneous relative motions of the two sets of barbs which may lead to detachment or loosening of the looseness-proof fixation structures will not happen, so that the aortic stent-graft is able to be fastened onto a blood vessel wall more firmly.