A high-pressure pump for use in a fuel injection system for diesel engines is provided which includes a plunger slidably disposed within a chamber formed in a pump housing to define a pressure chamber whose volume is changed according to sliding movement of the plunger, a check valve disposed within a fluid inlet line extending from an inlet port to the pressure chamber, and a solenoid valve disposed within the fluid inlet line upstream of the check valve. The check valve establishes fluid communication between the inlet port and the pressure chamber during a fluid suction operation wherein the fluid is sucked into the pressure chamber, while blocking the fluid communication between the inlet port and the pressure chamber during a fluid feeding operation wherein the fluid sucked into the pressure chamber is pressurized and discharged from an outlet port. The solenoid valve controls a flow rate of the fluid sucked into the pressure chamber through the check valve. This pump structure is compact in size, consumes less electric power, and is capable of feeding a desired quantity of fuel into the engine accurately.