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With the outbreak of COVID-19 (Corona Virus Disease, 2019), China adopted traffic restrictions to reduce the spread of COVID-19. Using daily data before and after the outbreak of COVID-19, an exogenous shock, this paper analyzes the effects of private vehicle restriction policies on air pollution. We find that the private vehicle restriction policies reduce the degree of air pollution to a certain extent. However, their effect varies with other policies implemented in the same period and the economic development of the city itself. Through the analysis of different categories of restrictions, we find that restriction policy for local fuel vehicles and the restriction policy based on the last digit of license plate numbers have the best effect in reducing air pollution. Under the background of COVID-19 epidemic and the implementation of private vehicle restriction policies and other traffic control policies during this period, we have also obtained other enlightenment on air pollution control. • The causal relationship between air pollution and restriction is analyzed. • An exogenous shock from COVID-19 is used to identify this relationship. • The private vehicle restriction reduces the degree of air pollution. • The restriction policies have heterogeneous effects. • The effects of restriction are affected by other policies against COVID-19. [ABSTRACT FROM AUTHOR]