A fuel injection control apparatus is capable of reducing a minimum quantity of fuel injection without reducing a maximum quantity of injection. To open a fuel injector valve, a driving circuit supplies an electric current from a high-voltage power supply to the fuel injector. Then, after valve opening, the high-voltage power supply is switched to a low-voltage power supply, and an open state of the valve is retained. For opening the valve of the fuel injector, a microcomputer, after supplying current from the high-voltage power supply to the injector, discharges the current rapidly for a decrease below a first current level at which the open state of the valve cannot be retained. The microcomputer then controls the supply current to the injector so as to supply a current at a second current level at which the open state of the valve can be retained.