The invention relates to a method for growing a cerium-yttrium-aluminum garnet crystal, which comprises the following steps: synthesizing a polycrystal raw material of the cerium-yttrium-aluminum garnet crystal, putting the polycrystal raw material into a crucible filled with certain oriented seed crystals, putting the crucible in a high-temperature descending furnace, vacuumizing, filling inert protective gas at a certain temperature, and heating to a certain temperature; after the raw material and seed crystals are molten on the top, stably growing the crystal by controlling the furnace temperature, adjusting the solid-liquid interface temperature gradient, selecting appropriate crucible descending rate and the like; and after the growing finishes, carrying out in-situ annealing to finally obtain the large-size high-quality cerium-yttrium garnet crystal.