Cinclidotus vivesii is described and illustrated as a new species from NE Spain (Iberian Peninsula). It is well distinguished by a combination of characters: rigid appearance; non-curled, lanceolate and slightly falcate leaves; leaf margins elliptical in cross section, up to 4 cells thick with the inner cells similar to the superficial ones, and confluent at the leaf apex; nerve excurrent in a mucro; and smooth laminal cells.