An apparatus for indirect-evaporative gas cooling, comprising a shell (1) with a total gas stream inlet fitting (2), and outlet fittings (3, 4) respectively for a main stream and an auxiliary stream which flows counter-currently to the mainstream, and a plurality of moist ducts (7) provided in said shell (1) and made of a wettable capillary-porous material, and of dry ducts (8) made of a moisture-proof material, both the dry and the moist ducts intercommunicate on side of the shell on which mainstream outlet fitting is located (3), and a means for feeding a liquid wetting the capillary-porous material, characterized in that the respective moist and dry ducts (7, 8) are established in a capillary-porous solid (6) placed in the shell (1), while the dry ducts (8) are essentially tubes (9) whose ends extend beyond the capillary-porous solid on a side of the shell on which the inlet fitting is located (2) and are secured in a tube plate (16) spaced apart from the capillary-porous solid (6) so as to define an auxiliary gas outlet chamber (17) communicating with the outlet fitting (3).