The SO2 and NOX from the coal-fired power station are the main gaseous pollutants in the air, which causes acid rain and photochemical smog. However, the two consequences are recognized as one of the most serious global environment problems and must be controlled. The electro-catalysts oxidation technology is capable of oxidized the NO which the wet flue gas desulfurization processes (WFGD) could not achieve this goal, the products from the electro-catalysts oxidation reactor entering the WFGD and to removal then removed simultaneously. In this work, a plug-flow reactors model is presented that can describe the conversion of NOx by the discharge treatment of the exhaust gases at low temperatures and at atmospheric pressure in dielectric barrier reactors. The model takes into account the behavior of a plug-flow reactor are simplified versions of the general relations for conservation of mass, energy, and momentum. The variation regularity of the generated nitrogen oxides, the main free radicals, and the rate of NO produce (ROP) were be analog by take the plug flow reactor (PFR) model of chemical reaction kinetics in the mixed flue gas of N2/NO/O2 , and trying to seek out the dominant reactions relation to production and consumption NO in the non-equilibrium plasma system. The results indicated that the dominant free radical is the O3 in the mixed flue gas of N2/NO/O2.