A method for the regulated humidification and temperature control of a gas mixture in an inner chamber of an incubator, which inner chamber is sealed off from the surroundings by a housing, includes conducting heat from at least one condensation surface inside the incubator, which at least one condensation surface is separate from the inner surfaces of the inner chamber, is conducted out of the incubator to the outside through a wall delimiting the inner chamber by a heat conductor. Outside the incubator, the heat conductor is connected to a cooling body which releases the heat to the relatively cold ambient air. The method allows dispensing with a cooling unit and at the same time avoid sources of contamination due to moisture condensing out.