The possibility of optical readout has been studied for the detectors based on MgB4O7:Dy,Na. It is shown that due to the release of electrons from traps instead of holes under illumination by light, optically stimulated luminescence is not observed, despite effective erasing of thermally stimulated luminescence glow curves by light. By analogy with MgB4O7:Tm, a model of the processes occurring during thermoluminescence is presented.