Abstract: 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(－64550/RT)CA. The parameters obtained are consistent with the Physical-Chemical rules and statistically reasonable.