The cooling structure for a fuel cell vehicle comprises a fuel cell, a drive motor for driving the fuel cell vehicle using the energy generated by the fuel cell, a first cooling flow passage for cooling the fuel cell using a main radiator, and a second cooling flow passage for cooling the drive motor or the power control unit of the drive motor using auxiliary radiators. The main radiator is disposed in the central portion of the front surface of a vehicle body. The auxiliary radiators are respectively disposed on the front surface of the vehicle body in such a manner that their heat exchange surface are situated shifted in the vehicle-width direction so as to prevent them from being overlapped with the heat exchange surface of the main radiator.