The experimental investigation of methane catalytic combustion on coated noble catalyst was carried out,using an integral micoreactor under the condition free of external and internal diffusion limitations.Forty-five groups of experimental data for methane conversion were obtained under different space velocities and temperatures.The partial least-square(PLS)and The Nelder-Mead simplex search methods were employed to estimate the parameters of the intrinsic model.The intrinsic model of lean methane catalytic combustion on the HPA(KMK) catalyst is rA=7.32×109 exp(-64 550RT)CA.The parameters obtained are consistent with the Physical-Chemical rules and statistically reasonable.