In this work, we present a computational study of the turbulent diffusion flame in cylindrical combustor confined by two coaxial jets (Methane/Hydrogen and Air), in order to improve the reactive mixture, the reactants combustion and to reduce the carbon monoxide as pollutant chemical specie. Hereby, the coupled models LES/PDF are used to surmount the turbulence/chemistry interaction in the transport equations of chemical species. Whereas, the predict mixture fraction, the progress variable and the carbon monoxide mass fraction are selected to validate with the experimental references data. Furthermore, the same scalar parameters which are considered in the previous numerical validation are evaluated from different fuel compositions of the hydrogen and the methane percentage to supply the combustion chamber. The hydrogen addition reduces the carbon monoxide in the combustion products and improves the reactants burn caused by the rich mixture.