Abstract: This paper uses a kind of autocorrelation function (ACF) approach which accounts for the potential nonstationarity in the mean of the series and uses per capita GDP for Chinese provinces over the period of 1953—2007, and tests those transitional dynamic characteristics of the regional growth path in China. The results show that the characteristics of partial regional growth paths are different, but the speed of convergence is nonlinearity. Except Qinghai Province, the linearized neoclassical growth model fails to replicate the transitional dynamic characteristics of other provinces’ economy, and has some limitations in depicting transitional dynamic characteristics of the regional growth path in China.