In this study, we examine the relationship between climate change and food productivity using empirical econometric methods. The existing literature shows that natural hazard caused by climate change has a negative impact on food productivity since the natural disaster devastates farmers and food supply. The conventional study however considered only the correlation between food productivity change and climate condition such as optimum air temperature rather than the association between food productivity and climate change. Agricultural area, crop per unit area and crop productivity are known as the most important factors in food productivity. Thus, we explore the relationship between the three factors and climate change. We analyze the carbon dioxide concentration level in the atmosphere as a proxy for the climate change since the level of carbon dioxide in the atmosphere affects global temperature. We found that agricultural area, crop per unit area and crop productivity are negatively associated with climate change.