The study of the gradetonnage model of deposits is a frontier subject and an important component part of the systematic exploration theor y. The authors have established the geological model, grade model, tonnage model and combined gradetonnage model for 27 large and superlarge copper depo sits and a tonnage sequence model of porphyry copper deposits of the whole country, according to the “National Mineral Reserves Data Base, 1997”. The model types include frequency histograms, cumulative frequency distribution graphs and theoretical model with double logarithmic coordinates. The authors have summed up separately the typical mathematical geological characteristics of the gradetonnage distribution of large and superlarge copper deposits of China. The paper also discusses the reliability and predictive function in the mineral resource evalution with Zipfslaw and the tonnage sequence model