[en] We have studied the effect of doping with Eu²⁺ and Ce³⁺ ions on the photoluminescence of BaGa₂Se₄ crystals in the temperature range 77-300 K. We have established that the broad bands with maxima at wavelengths 456 nm and 506 nm observed in the photoluminescence spectra of BaGa₂Se₄:Ce³⁺ crystals are due to intracenter transitions 5d→²F_7/2 and 5d→²F_5/2 of the Ce³⁺ ions, while the broad photoluminescence band with maximum at 521 nm in the spectrum of BaGa₂Se₄:Eu²⁺ is associated with 4f⁶ 5d→4f⁷ (⁸S_7/2) transitions of the Eu²⁺ ion. We show that in BaGa₂Se₄:Eu²⁺,Ce³⁺ crystals, excitation energy is transferred from the Ce³⁺ ions to the Eu²⁺ ions. Keywords: luminescence, barium selenogallate, rare earth ions, europium, cerium. (authors)