Several types of weather extremes, such as stagnation and heatwaves, can lead to hazardous air quality situations by allowing some pollutants, such as tropospheric ozone (O3), to accumulate and persist in the near-surface environment. Compound events (CE), involving multiple concurrent weather extreme events, can exacerbate the concentration of air pollutants. Hence, the main objective of this contribution is to assess the role of the aforementioned extreme events (heatwaves and stagnation) and their concurrence as CE on the ground levels of O3 during summertime (June–July–August, JJA) in the Asian continent. The study utilizes daily data from a CMIP6 model for two distinct 30-year periods covering both the historical baseline (1980–2009) and the mid-to-late century period (2050–2079) under the SSP5-8.5 scenario. In general, higher O3 concentrations are observed in the presence of any of the extreme weather events compared to non-extreme conditions. In addition, the study shows that heatwave events play a crucial role in leading the occurrence concentrations of tropospheric O3 during CE. Ground-level concentrations of O3 are expected an increase under extreme situations, especially during stagnation conditions in the SSP5-8.5 scenario (up to 25%). The study highlights the critical role of extreme weather in exacerbating O3 pollution, underscoring the climate penalty effect. These findings indicate a necessity to further reduce air pollutant emissions during weather extremes, aiming to mitigate the adverse impacts of such extremes on air quality.