To reduce the number of production processes by simultaneously supporting a NOx-occlusion material and a noble metal.

A NOx-occlusion/reduction-type catalyst is obtained by suspending a compound of a NOx-occlusion element and a carrier powder in a polar solvent having a dielectric constant lower than that of water, then feeding CO2 to form fine carbonate of the NOx-occlusion element after the start of precipitation of the carbonate, adding an acetate of a noble metal in the suspension, removing the solvent, drying and firing the residue. It is possible to simultaneously supporting the NOx-occlusion material and the noble metal because the acetate of the noble metal is soluble in the solvent having the dielectric constant lower than that of water.