In the process of industrialization, steel materials are used in large quantities, and the rapid development of the industry represented by steel has produced the problem of multi-pollutant compound emissions. Among them, nitrogen oxides (NO_x) and dioxins (PCDD/Fs) are two representative pollutants, and the catalytic degradation of these two pollutants by catalysts is the most promising method. In this paper, the preparation, activity and catalytic mechanism of various manganese-based catalysts are summarized, and the advances on low-temperature denitrification catalysts, low-temperature dioxin de-dioxin catalysts, and low-temperature simultaneous denitrification dioxin-based manganese-based catalysts are summarized, and the relationship between the activity of different catalysts and the preparation conditions and the catalytic decomposition mechanism are expounded. In this paper, the preparation, activity and catalytic mechanism of various manganese-based catalysts are summarized, and the research progress of low-temperature denitrification catalysts, low-temperature de-dioxin catalysts, and low-temperature simultaneous denitrification dioxin-based manganese-based catalysts is summarized, and the relationship between the activity of different catalysts and the preparation conditions and the catalytic decomposition mechanism are expounded. Manganese-based catalysts have high research value and application prospects for the synergistic removal of NO_x, dioxins and two pollutants.