A hearing device adapted to be worn by a user and for picking up sound containing the user's own voice is provided. The hearing device includes an input unit having first and second input transducers for converting sound to first and second electric input signals, respectively, representing the sound. The hearing device is configured to provide that the first and second input transducers are located on the user so that the user experiences first and second, acoustically different, acoustic environments, respectively, when the user wears the hearing device. The first acoustic environment may be defined as an environment where the own voice signal primarily originates from vibrating parts of the bones and skin or tissue. The second acoustic environment may be defined as an environment where the own voice signal primarily originates from the user's mouth or nose and is transmitted through air from said mouth or nose to the second input transducer(s). A method of operating a hearing device is further disclosed.