A system for reducing the vibration sensitivity of an implantable microphone without an equal or greater reduction in sound sensitivity. The system reduces non-ambient vibrations by placing at least one compliant member into the path of transmission for tissue-borne vibration, but not into the path for ambient sound-induced vibration. More particularly, a compliant member is interposed along the path between a source of non-ambient vibration and an implanted microphone. In one aspect, a compliant base member is disposed between an implanted microphone and an implant wearer's skull. In another aspect, a microphone is compliantly suspended relative to an implant housing using a support membrane. In either aspect, the compliant member (i.e., base member and/or membrane) and the supported member (i.e., housing and/or microphone) define a supported system having a natural or resonant frequency. This natural frequency may be set to a value to advantageously isolate the microphone against transmitted vibration.