An efficient Sisyphus cooling and geometric cooling of three-level atoms in blue-detuned evanescent light-wave are discussed, and the kinetics processes of atom cooling in a pyramidal and conical hollow trap is studied by Monte-Carlo simulation.The results shows that (1) the atom-loss rate is decreased with the increase of evanescent-wave laser power, (2) the final equilibrium temperature of atoms in the pyramidal trap is decreased as the reduce of detuning δ, and (3) there is a larger error between the Monte-Carlo results and theoretically-estimated ones when the judged width of evanescent light-wave is not wide enough. In addition, under the same conditions, the pyramidal atom trap is more efficient than the conical atom trap, which can obtain a lower atomic temperature and higher atomic density.