Cobb - Douglas production function is a mathematician and economist Cob Douglas, according to the American history 1899-1922 year data, studies the relationship between labor input and capital input and output, a famous production function model. Based on the Cobb - Douglas production function model, the establishment of innovation the study of literature, this paper systematically describes the theoretical basis and derivation of the production function and the Co Bbu Douglas production function model, probably understand the nature and characteristics of the. Co Bbu Douglas production function originated in the production function, so we firstly in the second chapter describes the production function model and the concept of conclusion, then gradually extended to the Cobb Douglas production function, introduced the model and the factors of production and its to the first chapter, second chapter is the theoretical basis of setting Co Bbu Douglas production function in our model, use based on Cobb - Douglas production function model, the establishment of innovation model. Through the analysis of appropriate econometric, exploring the source of economic growth, to study the basic characteristics of China's economic the data of the 15 period of the 1995 to 2009 years, analysis of China's capital and labor inputs for China's social output. Selection on Q, selection of China from 1995 to 2009 of the gross national product of GDP, K and social fixed assets, Y and K are in billion for the unit, L and the number of the employed population in China during this period, with ten thousand men unit. In the actual regression model, the logarithmic form, in order to reduce heteroscedasticity. The results show that: the Cobb - Douglas function to the economic growth of China's explanation is significant, but in our country, the increase of capital contribution to economic growth to increase the contribution to economic growth than labor.