China and the United States of America (US) are developing renewable energy concurrently. In this paper, we seek the opportunities for potential cooperation between these two countries based on the analysis of annual economic data. A mathematical model has been established to characterize correlations among GDP, carbon dioxide emissions, energy prices and the renewable energy cooperation index. Based on statistical analyses, such cooperation can promote economic development, reduce carbon dioxide emissions, improve the environment and realize green growth. If US monetary and technology resources and Chinese markets are combined, benefits can be mutually gained. (C) 2014 The Authors. Published by Elsevier Ltd.