The dynamic fluctuation mechanism of inflation based on inflation persistence is of great theoretical value for a better understanding of the modern New Keynesian model which embodies the persistence of inflation. In this paper, we use a threshold autoregressive model with unit root to test the fluctuation path of inflation rate in our country. The results show that China's inflation rate is a threshold autoregressive process with local unit root, and can be divided into accelerating inflation state and Deceleration inflation status. In the case of decelerating inflation, inflation is a smooth autoregressive process, and in the case of accelerating inflation, inflation is an autoregressive process with unit roots. At the same time, it is found that China's inflation rate has high persistence in both states and that the accelerating inflation stage is more persistent. The modern New Keynesian models, which can embody the persistence characteristics of inflation, may be the theoretical mechanisms to explain the path of inflation with high persistence characteristics, and the conclusion of high persistence inflation can also be used as empirical evidence from China that modern New Keynesian model can reflect the persistence of inflation.

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