2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61919We complete the classification of compact connected contact toric manifolds initiated by Banyaga and Molino and by Galicki and Boyer. As an application we prove the conjectures of Toth and Zelditch on toric integrable systems on the n-torus and the 2-sphere.LaTeX 2e, 25 pages. (v2) small changesSymplectic GeometryDifferential Geometry53D10; secondary 14M25, 53D25text