The application relates to: a hearing device adapted to a specific user and comprising a) a forward path for processing an electric signal representing sound, the forward path comprising a1) an input unit for providing an electric input signal representing sound, a2) a signal processing unit for processing the electric input signal and providing a processed electric signal, and a3) an output unit for providing stimuli perceivable by a user as sound based on an electric output signal The signal processing unit is operatively connected to the input and output units. The hearing device further comprises b) a configurable tinnitus signal generator for generating a tinnitus masking signal intended to relieve a tinnitus of the user, and c) a combination unit operationally connected to the configurable tinnitus signal generator and to the forward path. The combination unit is configured to - at least in a specific tinnitus masking mode - provide that said electric output signal comprises the tinnitus masking signal. The application further relates to a binaural hearing system. The object of the present application is provide an alternative solution in a hearing device or system to problems related to tinnitus. The hearing device further comprises d) an analysis path comprising d1) an analysis unit for analyzing a signal of the forward path and for providing a forward path analysis control signal； d2) a control unit for receiving a number of control input signals including the forward path analysis control signal, and for providing a resulting tinnitus control signal based on a predefined criterion involving said number of control input signals, wherein - at least in said specific tinnitus masking mode - the control unit is adapted to control the configurable tinnitus signal generator, depending on the resulting tinnitus control signal, to thereby adaptively control a level of the tinnitus masking signal. The invention may e.g. be used in hearing aids, headsets, ear phones,
