A particulate combustion catalyst which includes a carrier containing a cerium-zirconium double oxide having a cerium oxide content of 5 to 50 mass %, or a carrier containing a cerium-zirconium-based double oxide containing an oxide of at least one metal selected from Nd, La, Fe, Y, Pr, Ba, Ca, Mg, Sn, and Sr in an amount of 1 to 35 mass %, and having a cerium oxide content of 5 to 50 mass %; and at least one metal selected from Ag, Ru, and K, or an oxide thereof supported on the carrier, and at least one metal selected from among Pt, Pd, and Rh supported on the carrier in an amount of 0.01 to 2 mass %. A particulate filter and an exhaust gas cleanup system having the catalyst are also disclosed. Employment of the particulate combustion catalyst realizes removal of soot through oxidation at low temperature without employment of an expensive noble metal. Since oxidation reaction proceeds with the aid of only oxygen, soot can be removed through oxidation at low temperature regardless of the NOx concentration of exhaust gas. Addition of a small amount of a noble metal can enhance effective removal of SOFs through oxidation while ensuring soot combustion.