A control apparatus for a fuel cell vehicle includes: a motor for driving the fuel cell vehicle; a motor control unit controlling driving and regenerative operations of the motor; a traction control unit suppressing slippage of drive wheels by controlling a driving force acting between tires and a road surface; a fuel cell generating electricity through electrochemical reaction by being supplied with reactant gases by a reactant gas supply unit and supplies electrical power to the motor; an electrical storage apparatus charged by power generated by the fuel cell and power regenerated by the motor; an output control unit controlling the output of the fuel cell; and a control unit controlling power consumption of the motor in advance of a change in a supply state of the reactant gases to the fuel cell due to execution of driving force control by the traction control unit.