The invention relates to a production method of chromium corundum bricks with reduction reaction resistance and thermal shock resistance for a non-ferrous metal smelting fuming furnace or a side-blownfurnace. The method includes uniformly mixing the crushed chromium slag, sintered corundum and chromium concentrate; adding into a three-phase electric arc furnace for smelting; smelting to obtain achromium corundum material; crushing, grinding, screening and grading the chromium corundum material to obtain particles with the particle sizes of 5-3mm, 3-1mm and 1-0mm and powder with the particlesizes of 180-mesh and 325-mesh respectively, adding 3-1mm fused zirconium mullite to obtain a mixed premix, adding a binding agent phosphoric acid, uniformly stirring, and standing for more than or equal to 48h; and adding a binding agent aluminum dihydrogen phosphate, mixing, carrying out compression molding, and carrying out high-temperature firing to obtain the chromium corundum brick. The invention has the advantages that the raw material cost is low, the cost performance is high, and the produced chromium corundum brick not only has scouring resistance, erosion resistance and high temperature resistance, but also has reduction reaction resistance and thermal shock resistance, and can be used for furnace slag line parts, bottoms and reaction zones for smelting lead, zinc, tin and othernonferrous metals.