Abstract:We make an analysis of the relationship between economic growth and innovation ability. Referring to the coupling theory, we establish the coupling degree model and the coupling coordination degree model, and we make an empirical study on the condition of coupling coordinated development of economic growth and innovation ability of 11 provinces of the Yangtze River economic in years of 2001-2013. The results show that: the provincial economic growth and innovation ability coupled coordination type of 13 years go across 6 levels. All the provinces and cities are of primary coordinated development type in addition to Yunnan, but types of high quality coordinated development are still not arrived; In space, West, middle and East region shows a law of diminishing three grade; In time, the coupling coordination degree of the Yangtze River are showing a rising trend. In view of this situation, we put forward some suggestions, such as the use of market means to enhance the innovation ability, and improve the innovation achievement of economic efficiency, therefore promoting economic development.