Convergence is one of the key concepts in economic growth theory. Its main idea is that income inequality in different economies tends to decrease as time goes by. In other words, economies tend to converge and in this process a less developed economy with higher marginal capital output will grow faster than a more developed one. This thesis empirically tests the hypothesis of convergence in different regions in China using annual data collected for 31 provinces from 1978 to 2012. Following the traditional method of regional classification, I divide the 31 provinces into three regions, namely, the eastern, central and western regions. I follow the methodology proposed in Bao and Dhongde (2009) to test convergence in the three regions. My empirical result finds no evidence of convergence, which is consistent with most previous convergence studies in the literature. In addition, I have conducted robustness analysis to support my main conclusion of no evidence of convergence. I also discuss suggestions for healthy economic growth for the Chinese economy.