A reactor using honeycomb catalyst is provided for fuel reformation with high activity and heat stability. The reactor comprises a heating tube, a methane gas inlet, a three-way steam inlet and a hydrogen-rich gas outlet. The three-way steam inlet is near to the heating tube for providing heat required for reformation and to reduce power consumption. The heating tube is made of an inconel material so that the overall reaction may be carried out at high temperature. The heating tube is set with a honeycomb carrier of cordierite. The honeycomb carrier is pasted with carbon nanotube and heat-treated to increase internal surface area. The honeycomb carrier has a Pt/CeO2/α-Al2O3 catalyst; is placed in the heating tube; and has honeycomb-pores channels parallel to a main axis of the heating tube.