A method and an apparatus of evaporative cooling for reducing the volume of an evaporative cooler by considerably lowering the temperature of a cooling fluid are disclosed. A first cooling fluid, which comprises most part of the cooling fluid evaporatively cooled by an outside air while passing through an evaporative cooling section after circulating in an apparatus to be cooled, re-circulates in the apparatus to be cooled. A second cooling fluid, which is separated from the cooling fluid after being cooled in the evaporative cooling section, passes through a sensible air-cooling section placed at an outside air inlet. Thereby, the inflow outside air is sensibly cooled. The second cooling fluid, which passes through the sensible cooling section, re-circulates in the evaporative cooling section. Also, the outside air that is sensibly cooled by the second cooling fluid evaporatively cools the cooling fluid, which passes through the evaporative cooling section, again. This process is repeated. Accordingly, the cooling efficiency in the apparatus to be cooled becomes maximized. The second cooling fluid indirectly contacts with the outside air, so the outside air is sensibly cooled without increasing its humidity. Thus, the wet-bulb temperature of the air inhaled into the evaporative cooling section is reduced and the cooling fluid can be cooled to even a lower temperature. Also, the above structure can provide a cooling fluid of even a lower temperature, so the volume of a cooling tower or outdoor unit, etc. can be reduced considerably.