The relationship between economic growth and carbon emissions is an important field of low-carbon economic research. Using the data about economic growth and carbon emission in Beijing from 1981 to 2010，this paper verifies the existence of environ—mental Kuznets curve,and using Tapio decoupling theory to quantitative analysis between GDP growth and carbon emissions about Hubei. Empirical studies show that, Hubei Province does not exist inverted U-shaped relationship between economic growth and carbon emissions, and in most years, the decoupled state about Hubei is weak decoupling basic state and economic development growth rate greater than the growth rate of carbon emissions, emissions work has achieved initial results, but there are many areas for improvement. Finally, according to the content of the study, this paper presented some of their suggestions.