PURPOSE: To suppress fuel consumption quantity and evade the fall of the rotational speed of an engine immediately after starting by providing control means which operates to set a switch provided in a power supply circuit of a starting fuel injection valve to an open state when the engine rotational speed assumes a value more than a predetermined value.

CONSTITUTION: The titled device has a fuel injection valve 24 in addition to a main fuel injection valve. The fuel injection valve 24 is supplied with a current during the operation of a starting motor 12 through a contact 21 opened and closed by a bimetal valve 20. When the engine rotational speed exceeds a predetermined value, a switch 70 is set to an open state through a comparator 62 and a relay 69. In this manner, the time of the fuel injection from the fuel injection valve 24 for starting becomes minimum so that the fuel consumption quantity can be suppressed. Further, fall of the engine rotational speed immediately after starting can be evaded.