Strong coupling of single cesium atoms with a high-finesse optical micro-cavity (the finesse of our Fabry-Perot-type micro-cavity is F = 3.3 x 10 5 and the cavity length is l c = 86 μm) has been realized for the both cases of TEM 00 and TEM 10 cavity modes in our experiments. The typical parameters are (g 00 , κ, γ) = 2π x (23.9, 2.6, 2.6) MHz and (g 10 , κ, γ) = 2π x (20.5, 2.6, 2.6) MHz for these two cases, respectively. Obviously our system reaches the strong coupling regime. The first application is to adopt strong coupling of free-fall individual atoms with the TEM 00 cavity mode for determining the effective temperature of laser-cooled atoms prepared in a magneto-optical trap located just above the micro-cavity. The second application is to employ strong coupling of free-fall individual atoms with the tilted TEM 10 cavity mode, in stead of TEM 00 mode, for more precisely tracking the trajectories of atoms passing through the cavity mode.