An intake air cooling apparatus for a stationary internal combustion engine in which a turbo charger is provided in an intake air passage and an exhaust gas passage, comprising: a first intake air cooler provided in the intake air passage on an upstream side of a compressor forming the turbo charger in order to perform primary cooling on intake air (a); a second intake air cooler (28, 30) for performing secondary cooling on the intake air (s) on an outlet side of the compressor after the intake air (s) is compressed and heated by the compressor; an absorption chiller that uses heat possessed by exhaust gas (e) from the stationary internal combustion engine as a heat source and supplies cooling water for cooling the intake air (s) to the first intake air cooler and the second intake air cooler (28, 30); wherein intake air (s) supplied to a combustion chamber of the stationary internal combustion engine is cooled by the first intake air cooler and the second intake air cooler (28, 30), characterized in that the intake air cooling apparatus further comprises: a heat exchanger that cools cooling water by performing heat exchange between the cooling water and outside air (a) and supplies the cooling water to the absorption chiller as a cold source, and an exhaust gas boiler provided in the exhaust gas passage of the stationary internal combustion engine; and a steam supply passage (36, 38) that supplies at least a part of the steam obtained in the exhaust gas boiler to the absorption chiller, wherein the steam is supplied as a heat source of the absorption chiller. a first intake air cooler provided in the intake air passage on an upstream side of a compressor forming the turbo charger in order to perform primary cooling on intake air (a); a second intake air cooler (28, 30) for performing secondary cooling on the intake air (s) on an outlet side of the compressor after the intake air (s) is compressed and heated by the compressor; an absorption chiller that uses heat possessed by exhaust gas (e) from the stationary internal combustion engine as a heat source and supplies cooling water for cooling the intake air (s) to the first intake air cooler and the second intake air cooler (28, 30); wherein intake air (s) supplied to a combustion chamber of the stationary internal combustion engine is cooled by the first intake air cooler and the second intake air cooler (28, 30), the intake air cooling apparatus further comprises: a heat exchanger that cools cooling water by performing heat exchange between the cooling water and outside air (a) and supplies the cooling water to the absorption chiller as a cold source, and an exhaust gas boiler provided in the exhaust gas passage of the stationary internal combustion engine; and a steam supply passage (36, 38) that supplies at least a part of the steam obtained in the exhaust gas boiler to the absorption chiller, wherein the steam is supplied as a heat source of the absorption chiller. a heat exchanger that cools cooling water by performing heat exchange between the cooling water and outside air (a) and supplies the cooling water to the absorption chiller as a cold source, and an exhaust gas boiler provided in the exhaust gas passage of the stationary internal combustion engine; and a steam supply passage (36, 38) that supplies at least a part of the steam obtained in the exhaust gas boiler to the absorption chiller, wherein the steam is supplied as a heat source of the absorption chiller.