A control device for a high-pressure fuel pump for an internal combustion engine having a solenoid valve installed as a suction valve in a fuel charging passage to a pressurized chamber. A pump suction pressure generated in the pressurized chamber in the charging stroke is exerted on the solenoid valve in a valve opening direction. The solenoid valve is closed at OFF state of an electric driving signal and opened at ON state of the electric driving signal, so that a discharging rate of the high-pressure fuel pump of variable discharge rate type is controlled by an opening and closing control of the solenoid valve.