The high specific surface area, adjustable porosity, and unique topological structure of metal-organic frameworks (MOFs) can be well inherited in their derivatives, which makes MOFs and their derivatives very promising in the elimination of typical gaseous pollutants by catalytic oxidation. In this paper, the synthesis methods of different types of MOFs and their derivative catalysts and their research progress in catalytic oxidation of typical gaseous pollutants are systematically reviewed. The effects of preparation methods, catalyst components, and experimental conditions on the performance of the catalyst were discussed, and the effects of the interaction between different metals on the performance of the catalyst were expounded. In addition, two important technical means of in situ experimental characterization and theoretical calculation to reveal the catalytic mechanism are introduced, and the reaction pathways and the reaction pathway and mechanism of pollutant degradation on some specific structures are summarized. Finally, the challenges and prospects of MOFs and their derivatives in catalytic applications are discussed.