Income inequality is an important expression of China’s main contradiction at new era and needs to be solved. In this paper, we consider a dynamic stochastic general equilibrium model with Ricardo and Non-Ricardo type heterogeneous household, and analyze impulsive response to expanding monetary policy shock. The impulse response functions of positive monetary policy show that the policy which dose not consider income inequality may deteriorate income inequality. Further, we investigate the stabilized policy under income inequality. The result argues that, if monetary policy authority response to income inequality, positive monetary policy shocks may improve the condition of income inequality. That is, when income inequality is significantly existed, monetary policy should pay attention to income inequality. Thus, the loose monetary policy which China has been using in recent years may be a factor to drive the enlargement of income inequality. Under significant existence of income inequality, monetary policy authority should regard income inequality as a pegging objective of monetary policy, which need scientific measurement of income inequality and which need to stick to working according to monetary policy rule.