Various turbulent combustion models are currently used with RANS (Reynolds-Averaged Navier-Stokes Simulation) or LES (Large Eddy Simulation) for the analyses and developments of IC (internal combustion) engines. Their models are, however, insufficient for their analyses and developments because the models are constructed by considering only the combustion in the gas phase without considering the chemical process on the internal surface of engine cylinder. In actual IC engines, the effects of chemical process on solid surfaces on the combustion should not be negligible because the combustion takes place in a very small volume surrounded by cylinder liner, cylinder head and piston. In this study, DNS (Direct Numerical Simulation) of premixed flames with a detailed chemical kinetics of hydrogen/air including the chemical processes in the bulk and on the solid surface were implemented. It was found that heat release rate near the wall increased temporally in the case of both a turbulent flame and a planar flame. This may be due to the Lewis number effect or adiabatic wall condition.