In this study, we presented a passive micromixer that based on the mechanism of split-and-recombination (SAR) and vortex mixing, also studied over Reynolds numbers (Re) ranging from 0.01 to 100 by numerical simulation. The main channel is 240 um wide and 100 um deep, while the total length of micromixer model is 2.49 mm. The structure of micromixer is PDMS-glass-PDMS which PDMS has micropatterns and glass has vias. At low Reynolds number, the mixing mechanism is dominated by molecular diffusion and SAR; when Re ~ 10, there is vortex mixing in cylindrical channel and the microchannel of three-dimensional 90 deg change of direction resulting in the secondary flow occurs, make mixing efficiency rising significantly. These micromixers showed at its exit with mixing efficiency higher than 90% at Re = 20, and also the lowest mixing efficiency is over 70%. Finally, an optimized method of geometry was presented which considered the size accuracy of manufacturing and fluids velocity in branches. It is useful to SAR mechanism for mixing efficiency enhancement especially when Re < 0.1, meanwhile, the pressure drop and performance index curves are just little difference than before. It provides some optimization guidelines for SAR micromixers. For Re > 5, micromixer No. 1 has better mixing efficiency, while micromixer No. 2’ has better mixing efficiency when Re < 5.