The stratigraphical position and the fossil content of several Triassic carbonate beds in the Betic Cordilleras are described. Three different conodont faunas have been found: one with Pseudofurnishius murcianus as the dominant species, a second in which Pseudofurnishius murcianus occurs together with Tardogondolella mungoensis mungoensis and a third in which Pseudofurnishius huddlei sp. nov. is the characteristic species.