Enthalpy heat exchanger for the compact ventilation units 304/404 SOL and 504 for replacing the cross-counterflow heat exchanger in the winter months. Highly efficient, moisture-transferring counterflow heat exchanger with selective plastic membrane film. Through this membrane of the heat exchanger, the moisture can be recovered from the exhaust air and transferred to the supply air, which means that the low relative humidity in rooms can be increased in the winter months. No transfer of gases and contaminants, long service life, high tightness, low pressure loss, antimicrobial, frost and heat resistant.