Abstract: An arrangement for reducing the humidity content of a gaseous medium, in particular air, has a cooling circuit. In order to increase its efficiency, an arrangement of this type is linked to a cooling system (10) known per se and has an evaporator (11) designed as a hollow body (16). The evaporator (11) has a pipe coil (17) through which a coolant, for example freon, can flow and a series of parallel ribs (18), preferably perpendicularly to the pipe coil (17), between which the gaseous medium is led in a first direction as a gas stream. The hollow body (16) is enclosed in an outer housing (12) forming an intermediate space (20) in which the gas stream is led in a second direction opposite to the first.