The results of stationary test,Grainger causality test and vector auto-regression analysis as well as prediction of economic growth rate of ethnic regions in China show that Grainger causality variables include the growth rates of university graduates,fixed assets investment,and the second industry share. Based on a further coefficient test,two regression equations have been set up,one is simple and the other is complicated with the results of 81. 55% and 97. 29% of economic growth respectively. The prediction of economic growth produced by the complicated equation is highly consistent with historical data,and foretells a slow-down of ethnic minority economic growth in 2015. This equation can not only explain the key variables to influence economic growth from a mathematical point of view,but also can make a quantitative description of the influence of fixed assets investment,the transformation of the second industry and economic cycle on the current economic growth,which is of valuable guiding significance to policy control.