A binaural hearing assistance system (BHAS) comprising left and right hearing assistance devices (HAD l, HAD r) adapted for being located at or in left and right ears of a user, or adapted for being fully or partially implanted in the head of the user, each of the left and right hearing assistance devices (HAD l, HAD r) comprising a) A multitude of input units IU i, i=1,..., M, M being larger than or equal to two, for providing a time-frequency representation X i (k,m) of an input signal signal x i (n) at an i th input unit in a number of frequency bands and a number of time instances, k being a frequency band index, m being a time index, n representing time, the time-frequency representation X i (k,m) of the i th input signal comprising a target signal component and a noise signal component, the target signal component originating from a target signal source (S s) at a location (x s, y s, z s) relative to the user; b) a multi-input unit noise reduction system comprising a multi-channel beamformer filtering unit (Beamformer) connected to said multitude of input units IUi, i=1,..., M, and configured to provide a beamformed signal Y(k,m), wherein signal components from other directions than a direction of the target signal source are attenuated, whereas signal components from the direction of the target signal source are left un-attenuated or attenuated less than signal components from said other directions; CHARACTERIZED IN THAT the binaural hearing assistance system further comprises a user interface (Ul) configured to communicate with said left and right hearing assistance devices (HAD l, HAD r) and to allow the user to influence functionality of the left and right hearing assistance devices, including to allow the user to indicate the location (x s, y s, z s) of the target signal source (S s) relative to the user via said user interface (Ul), and wherein the hearing assistance system is further configured to • synchronize the respective multi-channel beamformer filtering units (Beamformer) of the left and right hearing assistance devices so that both beamformer filtering units focus on the location (x s, y s, z s) of the target signal source (S s). a) A multitude of input units IU i, i=1,..., M, M being larger than or equal to two, for providing a time-frequency representation X i (k,m) of an input signal signal x i (n) at an i th input unit in a number of frequency bands and a number of time instances, k being a frequency band index, m being a time index, n representing time, the time-frequency representation X i (k,m) of the i th input signal comprising a target signal component and a noise signal component, the target signal component originating from a target signal source (S s) at a location (x s, y s, z s) relative to the user; b) a multi-input unit noise reduction system comprising a multi-channel beamformer filtering unit (Beamformer) connected to said multitude of input units IUi, i=1,..., M, and configured to provide a beamformed signal Y(k,m), wherein signal components from other directions than a direction of the target signal source are attenuated, whereas signal components from the direction of the target signal source are left un-attenuated or attenuated less than signal components from said other directions; • synchronize the respective multi-channel beamformer filtering units (Beamformer) of the left and right hearing assistance devices so that both beamformer filtering units focus on the location (x s, y s, z s) of the target signal source (S s).