It is an object of the present invention to provide a control method of a high-pressure fuel supply pump and a high-pressure fuel supply pump using the same capable of effectively reducing noise generated when an electromagnetic suction valve is opened. This can be realized such that, in a control method of a high-pressure fuel supply pump including a suction valve disposed on the suction side of the pressurizing chamber, a rod for urging the suction valve toward the opening valve direction, and an anchor for moving the rod in the closing valve direction with attraction by magnetic attraction caused by a solenoid being energized, when the anchor moves in the opening valve direction, a first drive current is passed through the solenoid for a predetermined period of time, and thereafter a second drive current larger than the first drive current is passed through the solenoid for a predetermined period of time.