The interaction between methane and hydrogen premixed flames with the different equivalence ratio and global strain rate was investigated numerically in one-dimensional counterflow field. The OPPDIF code and GRI-v3.0 were used to simulate the interacting flames. Overall trends in the maximum heat release rates of CH<SUB>4</SUB>- and H<SUB>2</SUB>-side flame were examined with the variation of a<SUB>g</SUB>. The interaction mode of the flames were classified according to the equivalence ratios and Lewis numbers of each flame and global strain rate.