Provided is a high-pressure fuel supply device for an internal combustion engine, said device being capable of suppressing noise from collisions of a plunger rod and an air intake valve. A high-pressure fuel pump 108 comprises an intake valve, a plunger rod that is formed as a separate element from the intake valve, an elastic member that biases the plunger rod in the valve-opening direction of the intake valve, and a solenoid that draws the plunger rod in the valve-closing direction of the intake valve when supplied with electricity. A control device 101 has a first control unit that applies a first current to the solenoid in order to close the intake valve, and a second control unit that applies a second current to the solenoid before the plunger rod collides with the intake valve due to the biasing force of the elastic member.