Fuel pump control system for cylinder cut-off internal combustion engine

In a fuel pump control system for an internal combustion engine whose operation is switched between cut-off-cylinder operating mode during which some of the cylinders are non-operative and full-cylinder operating mode during which all of the cylinders are operative and having a fuel injector connected to the fuel supply line and supplied with fuel pressurized by the fuel pump, it is discriminated whether the operation of the engine is in the full-cylinder operating mode or in the cut-off-cylinder operating mode, the operation of the fuel pump is controlled based on the discriminated operating mode of the engine, i.e., is controlled such that the delivery flow rate of the fuel pump when the engine is discriminated to be in the cut-off-cylinder operating mode, is reduced relative to that when the engine is discriminated to be in the full-cylinder operating mode, thereby reducing the power consumption and operating noise of the fuel pump.