The invention concerns a machine for compressing vapours by mixing with high-pressure steam. The aim of the invention is to increase the energetic efficiency of conventional steam-heated evaporation and distillation processes. The pressure of the vapours is first increased in the radial steam-mixing machine by the blades (9) of a rotor (8) and then mixed in the blade ring (7) with live steam sprayed in through nozzles (14). The nozzles (14) are mounted on the rotor (8). The steam sprayed in provides, in accordance with the law of angular momentum, drive torque for the rotor (8). This enables the energy consumed by the pressure-reduction valve in conventional evaporation equipment to be made use of. The invention makes it possible to improve conventional steam-heated evaporation and distillation processes by employing the radial steam-mixing machine.