Macro public finance and economic growth theoretical research lay great emphasis on the influence of tax towards economic growth and social welfare. Based on a stochastic endogenous growth model consisting of tax on earned income, expenditure tax and capital income tax, this paper employs numerical simulation to analyze the evaluation differences of various taxes' economic growth and social welfare. The study found that the classified taxes will affect social welfare standards through their influences on consumption capital ratio; fiscal expenditure capital ratio and economic growth ratio, moreover, the corresponding tax of economic growth maximization and social welfare maximization were inconsistent. Furthermore, the study has adopted empirical analysis, using China's panel data of 31 provinces from 2002 to 2012 and has inspected the effects of classified tax on social welfare. The study found that different taxes have various influences on social welfare, and the influence s of taxes on social welfare is different between regions.