The invention relates to a bone anchored hearing aid with a sound processor which generates a vibration signal and serves the signal at a vibrator for transmission of the vibration signal into the skull bone of a wearer and where a resonance damping system is provided in the hearing aid and comprising an electronic notch filter having a notch filter center frequency F1, wherein the notch filter frequency F1 is below a resonance frequency Fsim of the hearing aid as measured in a standard skull simulator.