The invention relates to a neutron detector unit for neutrons, in particular thermal and cold neutrons, comprising a detector housing (7, 17, 27), cathode elements and a plurality of anode elements (5, 15, 25), wherein in order to form a volume detector unit the anode elements (5, 15, 25) and the cathode elements enable a three-dimensional spatial resolution for conversion events, characterized by a converter gas in the detector housing (7, 17, 27). According to the invention, in a neutron detector arrangement which includes at least one neutron detector unit the neutron detector unit (3, 13, 23) or at least one of the neutron detector units (3, 13, 23) is oriented in such a way that at least some of the anode elements (5, 15, 25) of the at least one neutron detector unit (3, 13, 23) extend at least predominantly in a longitudinal orientation parallel or almost parallel to the direction of travel of the neutrons (4) to be detected.