Abstract: The invention relates to a method of producing a crystal from a material with the general composition of CexGdyY1?x?yAlO3 known to the professional public for scintillation crystal detectors, which has not yet been industrially produced by the Czochralski method. The invented method makes it possible to produce crystals with a diameter larger than units of mm. In particular, the invention adds to the initial Czochralski method the steps of annealing the input raw materials as well as the controlled flow of a reducing hydrogen-argon atmosphere through a crystal growth furnace.