A method of producing a crystal for a scintillation crystal detector consisting in producing a crystal with the general composition of CexGdyY1-x-yAlO3 by the Czochralski method by pulling from a molybdenum or tungsten crucible under a reducing atmosphere of a crystal growing furnace, where x is from the range of 0.005 to 0.015 and y is from the range of 0.4 to 0.6, and within the framework of which a) the input raw materials are prepared, b) the input raw materials are placed in the crucible, c) the content of the crucible is melted under the reducing atmosphere of the crystal growing furnace under the action of heat and a crystal is produced by pulling, characterized in that as part of process step a), the input raw materials are annealed in the presence of fluoride ions, and, during process step c), the reducing atmosphere of the crystal growing furnace consists of a gaseous mixture of argon and hydrogen, while the reducing atmosphere is allowed to flow through the crystal growth furnace, and at the same time the flow rate of the reducing atmosphere ranges from 1.67×10 7 m3/s to 1.39×10-5 m3/s.