The livestock industry continues to grow around the world, but livestock odor is becoming an environmental problem that is difficult to solve. In this review paper, the current status of the domestic livestock industry, livestock odor complaints, mediation cases involving environmental disputes related to livestock odor, livestock odor management policies and standards, livestock odor sources, major odor compounds, and emission characteristics are summarized. Domestic meat supply and meat consumption per capita are increasing, and livestock farms are becoming large-scale and intensive. Livestock odor complaints increased 4.5 times over the last five years (2014-2019), and its proportion to total odor complaints was 19%-30%. Livestock facilities larger than a certain size are classified as odor emission facilities and are managed based on the Odor Prevention Act. The information presented in this paper can be used to establish strategies to promote the sustainable development of the livestock industry while resolving air quality deterioration and public health problems caused by odor emissions from livestock farms.