NOVELTY - Fabricating fuel reforming catalyst, comprises e.g. : impregnating catalyst of alpha -aluminum trioxide in cerium(III) nitrate solution; taking surplus water of cerium(III) nitrate solution containing catalyst of alpha -aluminum trioxide out to obtain cerium(IV) oxide/ alpha -aluminum trioxide; impregnating cerium(IV) oxide/ alpha -aluminum trioxide in platinum solution; and putting platinum solution containing cerium(IV) oxide/ alpha -aluminum trioxide in high temperature furnace to obtain catalyst of platinum/cerium(IV) oxide/ alpha -aluminum trioxide.    USE - The method is useful for fabricating a fuel reforming catalyst for solid oxide fuel cell power generating system, where the catalyst is platinum/cerium(IV) oxide/ alpha -aluminum trioxide or nickel/cerium(IV) oxide/ alpha -aluminum (all claimed).    ADVANTAGE - The method provides: platinum/cerium(IV) oxide/ alpha -aluminum trioxide catalyst that has resistance over 1000 hours and conversion of higher than 99% (claimed); and the catalyst that has high coking-resistant and will not be broken into powder after a long time of use and catalysts that have higher activities on hydrogen generation.    DETAILED DESCRIPTION - Fabricating a fuel reforming catalyst, comprises: (a) obtaining gamma -aluminum trioxide in a high temperature furnace with air flown in to be sintered under a temperature increasing velocity of 5 degrees C/minute to a temperature of 1080-1320 degrees C for 6-9 hours and, then, cooling down the temperature to room temperature under temperature decreasing velocity of 5 degrees C/minute to obtain a catalyst of alpha -aluminum trioxide; (b) obtaining cerium(III) nitrate hexahydrate to be dissolved in a deionized water to obtain (12) a cerium(III) nitrate solution; (c) impregnating the catalyst of alpha -aluminum trioxide in the cerium(III)nitrate solution; (d) taking surplus water of the cerium(III) nitrate solution containing the catalyst of alpha -aluminum trioxide out by a cyclotron vacuum concentrator to obtain cerium(IV)oxide/ alpha -aluminum trioxide; (e) putting cerium(IV) oxide/ alpha -aluminum trioxide into an oven to be dried; (f) putting cerium(IV) oxide/ alpha -aluminum trioxide into a high temperature furnace with air flown to be sintered under a temperature increasing velocity of 5 degrees C/minute to a temperature of 440-660 degrees C for 3-5 hours; (g) obtaining dihydrogen hexachloroplatinate to be dissolved in a deionized water to obtain a platinum solution; (h) impregnating cerium(IV) oxide/ alpha -aluminum trioxide in the platinum solution; (i) taking surplus water out of the platinum solution containing cerium(IV) oxide/ alpha -aluminum trioxide by a cyclotron vacuum concentrator to be put into an oven to be dried; and (j) putting the platinum solution containing cerium(IV) oxide/ alpha -aluminum trioxide in a high temperature furnace with air flown to be sintered under a temperature increasing velocity of 5 degrees C/minute to a temperature of 520-780 degrees C for 3-5 hours, and, then cooling down the temperature to a room temperature under a temperature decreasing velocity of 5 degrees C/minute to obtain a catalyst of platinum/cerium(IV) oxide/ alpha -aluminum trioxide.