A thermotherapy device, especially incubator, for the treatment, includes a bordered bed surface freely accessible from above for receiving a newborn. A hood (2) is provided covering the bordered bed surface (4). A heating device (3) is arranged so as to be able to radiate the hood and bordered bed surface. A control and analysis unit is set up to determine the dew point and the temperature at the inner wall of the hood (2), and is also set up to activate the heating device (3) when the temperature at the inner wall of the hood falls below the sum of the dew point and a preset safety margin, and to deactivate the heating device (3) as soon as a temperature determined for the inner wall of the hood reaches a preset value above the dew point.