Absorption and emission spectroscopy as well as photo-and thermostimulated luminescence (TSL) methods were used for the energy storage study in a BaMgF 4 single crystal. The obtained data manifests the emission and absorption band positions similar to LiBaF 3 . At the same time, radiation colorability (evaluated as an integral of X-ray induced absorption spectra and TSL curves) of BaMgF 4 is well below. Color center models are considered to explain the obtained results. The radiation resistance of the BaMgF 4 crystal is reasonable for scintillation applications.