It is the investment that can activate the interior demand, which is the key point for the economic growth. Taking the world wide economic situation into consideration, there is no doubt that the analysis of economic growth function on regional industry investment plays the most important role in the process of economic system transition. By extracting the relation between investment and the industry, which have not received enough attention, the industry investment, in this respect, focuses its effect on the economic growth. Based on the data and background of certain regions of China, the Polynomial distributed lags model has been advanced for the concerned analysis. Its conclusion offers not only the theoretical analysis but also the positive countermeasures for the hereof regions.