In the context of answering climate change and reaching a consensus on reducing carbon dioxide emissions in global scale.Exploring the relationships between economic growth and carbon dioxide emissions is of great significance.Cointegration,vector autoregressive model(VAR),impulse response function and Granger causality were applied in this paper to analysis the causal relationship between carbon emissions per capita and economic growth in six regions with different economic development level.The results showed that there was a long-run equilibrium relationship between region economic development and per capita carbon emissions.However,due to various economic development levels and development models in the specific region,the degree of carbon dioxide emissions per capita was different from that of economic growth;meanwhile economic growth could not guarantee the reducing of carbon emissions.The reasonable way to achieve this is through adjusting industrial structure,strengthening the third industry,using clean energy,applying low carbon economy development way,which is of great significance in implemet policices to reduce emissions in China.