The invention provides a blast-furnace gas catalytic desulfurization device and method. The blast-furnace gas catalytic desulfurization device includes a cooling tower, an absorption tower, a regeneration tower, a heat exchanger and a steam boiler, sulfur dioxide, organic sulfur and hydrogen sulfide in blast-furnace gas in the absorption tower are dissolved in a solvent trough, organic acid and anorganic amine catalyst are added to form an active intermediate complex, and then the active intermediate complex reacts with tail gas and the hydrogen sulfide dissolved in the solvent to produce elemental sulfur; a pregnant solution enters from the top of the regenerated tower and is in countercurrent contact with gas stripping steam generated from the bottom-up steam boiler, sulfide and CO2 dissolved in the pregnant solution are analyzed, an obtained barren solution re-enters the absorption tower, and recycling of a solvent absorbent is realized; heat exchange of the pregnant solution and the barren solution in the heat exchanger is realized, cooled pregnant solution enters the regenerated tower, and the heated barren solution enters the absorption tower; and in the reaction process ofthe regenerated tower, part of the catalyst is cooled to 70 DEG C by a cooler arranged outside the tower, then steam sulfur and by-products in the catalyst are separated by high-speed centrifugation,and thus recycling of the part of the catalyst is realized.