In recent years, with the continuous development of China's economy, energy depletion(ED) has become an indispensable part of resources. The development of many sites is still mainly high pollution and high energy efficiency. With industry as the main source of pollution, the environmental pollution caused by source reduction has also become the focus of attention. How to deal with the complex relationship between economic development and resource exploitation, environmental protection and R & D investment has become the key to sustainable development. Based on the empirical analysis of inter provincial panel data(IPPD), this paper studies and analyzes the endogenous model of sustainable economic growth of energy consumption and pollution control(PC). This paper briefly introduces the relationship between ED, PC and sustainable economic growth, puts forward the panel unit root test algorithm, analyzes and discusses the endogenous model of ED, PC and economic growth through the empirical analysis of IPPD, and achieves good results, which is of great significance to the sustainable development of China's economy.