The monastery complex sits on a terrace between a cliff and the gorge of one of the tributaries of the Abbay River (the Blue Nile). None of the original buildings of Debre Libanos survive, although David Buxton suspected "there are interesting things still to be found among the neighbouring cliffs".[1] Current buildings include the church over Tekle Haymanot's tomb, which Emperor Haile Selassie ordered constructed in 1961; a slightly older Church of the Cross, where Buxton was told a fragment of the True Cross is preserved; and five religious schools.