A fuel reforming apparatus includes an oxidation reaction unit in which an oxidation catalyst is formed, a reforming reaction unit in which a reforming catalyst is formed, and an ignition unit for igniting a hydrocarbon-containing fuel and an oxidant and preheating the oxidation catalyst in an early driving stage. The oxidation reaction unit has a first section and a second section respectively formed opposite to each other with the oxidation catalyst interposed therebetween and forms a stream of the fuel and the oxidant flowing to the second section through the oxidation catalyst from the first section, the ignition unit being located in the second section.