The bound magnetic polaron (BMP) in a cubic Fe-based diluted magnetic semiconductor is considered. It is shown that the energy spectrum of the Bmp is identical to that of the three-dimensional harmonic oscillator with a spin-orbital coupling. The polaron effect manifests itself in the existence of a splitting in the energies of the excited states of the polaron. It is shown also that the g-factor of the BMP is smaller than the g-factor of a free electron calculated in the molecular-field approximation.