A high-pressure fuel supply pump includes a compression chamber, a plunger reciprocating in the compression chamber for pressurizing fuel in the compression chamber, a discharge valve for discharging pressurized fuel from the compression chamber to a high-pressure fuel passage of a high-pressure fuel supply system for supplying high-pressure fuel to an internal combustion engine, and a first solenoid actuated valve for connecting and disconnecting a first low-pressure fuel passage and the compression chamber. The first solenoid actuated valve is biased by a first biasing member in a closing direction of the first solenoid actuated valve, and is opened or kept open against the biasing force of the first biasing member, when the first solenoid actuated valve is energized. The high pressure fuel supply pump further includes a second solenoid actuated valve for connecting and disconnecting a second low-pressure fuel passage and the compression chamber.