A pump for a fuel cell includes a pump portion, a motor, a controller, a housing, and a temperature detector. The controller executes an activation control and a sensorless vector control. In the activation control, the controller executes a cold activation mode process when the outside air temperature is less than or equal to a set temperature. In the cold activation mode process, the controller executes at least one of increasing a value of an activation current supplied to the motor relative to when a normal activation mode process is executed or setting a supply duration of the activation current to the motor to be longer than that of when the normal activation mode process is executed.