Surface-level ozone (O_3) is a major pollutant with negative effects on plant growth and yield. The elevated ozone concentrations due to human activities have a significant impact on global food security. Since ozone is hardly soluble in water, it is deposited mainly through dry deposition to terrestrial ecosystem. It is thus necessary to quantify the terrestrial ecosystem sink for ozone and to predict the potential influences of ozone on vegetation status. By introducing main observation and simulation methods of ozone dry deposition flux, including seasonal and daily variations of ozone flux and ozone deposition velocity; the influence of climate change on ozone dry deposition and processes of different ozone deposition pathways, this paper reviews the progresses and researches on ozone flux observations and simulations in different territorial ecosystems. In addition, major scientific issues that are to be addressed in near future are also discussed.