Climate change and air pollution are related environmental externality issues, and tackling them together necessitate considering their differences across time and space. We establish a global dynamic general equilibrium air pollution-climate-economy model within the limit of tipping point events. The model differentiates two genres of emissions in terms of depreciation rate, dissipation rate, inter alia, and furthers the analysis for Pigouvian tax (pollutant pricing) to jointly address stock and flow pollutants across time and space. The findings are as follows. First, at the global scale, the Pigouvian tax levied on fossil fuels numerically aggregates both carbon price, which internalizes the accumulated impacts of carbon emission in each period, and air pollution price, which internalizes the current-period impact of air pollution. Second, to further consider the differentiated impact of air pollution across regions, the regional Pigouvian tax aggregates a region-specific pollution tax, which internalizes the regional impact of air pollution, and a unified carbon tax that internalizes the global climate impact. Last, the Pigouvian tax should reflect both the impact on economic production and utility losses.