A control method of a fuel supply pump includes moving an anchor in the closing valve direction by passing a maximum drive current through the solenoid, and thereafter holding the anchor at a closing valve position by passing a holding current for keeping a closing valve state through the solenoid. The holding current is smaller than the maximum drive current. A current value of a first drive current is smaller than a current value of the holding current. A current value of a second drive current overlaps a range of the current value of the holding current. A current value of a third driving current is equal to or more than the current value of the holding current.