The application relates to a hearing device, e.g. a hearing aid, adapted for being arranged at least partly on a user's head or at least partly implanted in a user's head. The hearing device comprises a) an input unit comprising first and second input transducers for picking up sound from the environment of the user and providing first and second electric input signals, the first and second input transducers being located on the head, (e.g. at or behind an ear) and at or in an ear canal of the user, respectively, b) a signal processing unit providing a processed signal based on one or more of said multitude of electric input signals, and c) an output unit comprising an output transducer for converting said processed signal or a signal originating therefrom to a stimulus perceivable by said user as sound. The hearing device further comprises an own voice detector comprising first and second signal strength detectors for providing signal strength estimates of the first and second electric input signals. The own voice detector comprises a comparison unit operationally coupled to the first and second signal strength detectors and configured to compare the signal strength estimates of the first and second electric input signals and to provide a signal strength comparison measure indicative of the difference between said signal strength estimates; and a control unit for providing an own voice detection signal indicative of a user's own voice being present or not present in the current sound in the environment of the user, the own voice detection signal being dependent on said signal strength comparison measure. Thereby an alternative scheme for detecting a user's own voice is provided. The invention may e.g. be used for the hearing aids, headsets, active ear protection systems, etc.