A water-saving intake air cooling apparatus for a stationary internal combustion engine includes a primary intake air cooler, a high temperature side intake air cooler, and a low temperature side intake air cooler in an intake air passage upstream and downstream of a turbo charger. A first radiator transfers cooling water to an absorption chiller. The absorption chiller transfers cooling water to the primary intake air cooler and to the low temperature side intake air cooler. A second radiator transfers cooling water to the high temperature side intake air cooler. A third radiator cools lubricating oil flowing through a lubricating oil circulation space. Steam is generated by an exhaust heat boiler provided in an exhaust gas passage, and the steam is supplied to the absorption chiller as a heat source. Such use of the first, second, and third radiators, reduces the need for cooling water.