To analyse the development of China and India, the governance indicators (including Voice and Accountability, Political Stability and Government Effectiveness, Regulatory Quality, Rule of Law, as well as Control of Corruption) in these two countries are forecasted by the fractional order accumulation grey number model, in the current study. The variation trend of six indicators will keep gentle growth or a slight decrease, except for the governance indicator of Control Corruption shows a substantial increase. Our results can provide references for policy makers, experts and investors.