This work presents a numerical simulation of premixed methaneair low swirl stabilized ame, the geometry describes a low swirl burner kind. Reynolds average NavierStokes standard κ−ε model for turbulence coupling to partially premixed model for combustion were used with varying methane equivalence ratio from 0.6 to 1.4. Parameters governing ame structure are investigated; velocity, temperature, CH4 distribution and thermal nitric oxide apparitions elds, results are compared and validated with experimental and large eddy simulation works cited in references, they oer good similarities for all ame parameters studied. Actual study works to nd equilibrium between the maximum of generated temperature and the minimum of thermal NO pollutant emissions for low swirl burners without neglecting the ame stabilization which must be maintained.