Acoustic signal tones of a hearing aid need to be adjusted to the particular situation so as to be easy to hear, i.e. on the one hand they should not be too loud in quiet situations, and on the other hand they should not be too quiet in noisy situations. In order to fulfill these requirements, the acoustic signals of the hearing aid according to the invention are shifted up or down in frequency if the ambient noises are extremely pronounced, particularly in the frequency band range of the acoustic signals.