Abstract:: The effect of Federal Reserve’s monetary policy on the RMB foreign exchange market pressure will change with the monetary policy mode and different economic environments in different economic periods. Therefore,based on the theory of spillover effect of international monetary policy,this paper first tests the nonlinear relationship between Federal Reserve’s monetary policy and RMB foreign exchange market pressure, then constructs a factor-augmented vector autoregressive model with time-varying coefficients and stochastic volatility. The model is used to study the non-linear impact of Federal Reserve’s monetary policy on RMB exchange market pressure from the aspect of quantitative monetary policy and price-based monetary policy. It is found that: First,in the period of economic prosperity and economic stability,the quantitative easing monetary policy of Federal Reserve mainly causes appreciation pressure of RMB exchange market through capital and financial accounts,while the price-based easing monetary policy of Federal Reserve mainly causes depreciation pressure of RMB exchange market through capital and financial accounts. Second,in the period of economic depression,the quantitative easing monetary policy of Federal Reserve mainly causes depreciation pressure of RMB exchange market through the current account,while the price-based easing monetary policy of Federal Reserve mainly causes appreciation pressure of RMB exchange market through the current account. This paper predicts that Federal Reserve will implement the price-based easing monetary policy,and suggests that the Central Bank of China implement the same price-based easing monetary policy,to reduce the depreciation pressure of RMB and maintaining the stability of the RMB exchange rate.