Partial oxidation of methane to synthesis gas using a highly selective catalyst based on NdCaCoO4 has been studied, and rate constants have been determined. To determine the kinetic constants in a thin bed of the catalyst with a mass of 0.1 g, a model of isothermal syngas production process has been implemented and objective functions and computational algorithm to minimize the mismatch criterion between calculated and experimental data have been selected. The oxidative methane reforming process has been modeled in the isothermal and autothermal modes. The calculation results for the isothermal mode have been found to agree with experimental data.