A catalyst can be manufactured using a method which can include preparing a first aqueous solution including zirconium, filling the pores of the porous alumina with the aqueous solution by a pore-filling method using the capillary phenomenon, forming a zirconia layer in the pores of the porous alumina, preparing a second aqueous solution including noble metals, filling the pores of the porous alumina with the second aqueous solution by a pore-filling method using the capillary phenomenon, and drying and baking the porous alumina to carry the noble metals in the pores of the porous alumina formed with a zirconia layer.