A vascular endoprosthesis (1) is disclosed which is capable of being arranged internally to the aortic arch (O), comprising: a tubular main body (2), to be housed in the internal lumen of the aortic arch (O); three tubular secondary bodies (3, 4, 5), originating from the main body (2) and to be housed in the right carotid artery (R), in the left carotid artery (L) and in the subclavian artery (S); and stent-type engagement means (10, 11, 13, 14, 15), intended to hold a longitudinal end portion (21, 22, 31, 41, 51) of the main and secondary bodies onto the internal wall of the respective vessel (FIG. 5).