2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61174This paper gives a complete classification of all alternating knots with tunnel number one, and all their unknotting tunnels. We prove that the only such knots are two-bridge knots and certain Montesinos knots.38 pages, 26 figures; to appear in Communications in Analysis and GeometryGeometric Topology57M25text