A fuel injection pump 1 is provided with a diesel engine having a starter 63 started up by a key switch 61. The fuel injection pump 1 comprises a cold start device 30 having a sparking actuator 38, the starter 63 and the sparking actuator 38. The fuel injection pump 1 includes a fault detection means that activates the sparking actuator 38 whenever the key switch 61 is switched on.