To reduce the disturbing effect of artifacts created by signal processing when reducing wind noises the microphone signal of a hearing device for the presence or the strength of a predefined wind noise signal and, if appropriate, the wind noise signal is released. A noise signal is generated that is emitted at the hearing aid output component in addition to the reduced wind noise signal. The noise signal is generated dependent on the wind noise signal, so that the wind noise signal is at least partly masked. The resultant signal is perceived by the wearer of the hearing aid to be less disturbing.