Numerical studies are made of H2/N2-air nonpremixed laminar counterflow diffusion flames strained by impinging micro fuel or air jet from fuel or air side. Numerical computations taking into account detailed chemical kinetics and multicomponent diffusion show that the temperature of the flame strained by micro fuel jet from fuel side easily decreases to reach extinction, and the flame strained from air side, on the contrary, hardly extinguishes and the flame temperature tends to increase. The present numerical results predict well the flame characteristics recognized by the experiments and this study reveals that these characteristics of those strained flames are mainly dominated by dilution or concentration of H2 in the fuel due to the preferential diffusion in relation to convex or concave flame curvature. In addition, it is also shown that maximum flame temperature cannot be rationalized by the local stretch rate and changes widely depending on the flame configuration such as the flame curvature relating with the preferential diffusion effects.