FUEL PUMP

The present invention provides a fuel pump capable of discharging fuel at high pressure and suppressing sticking between a plunger and a cylinder. A high-pressure fuel supply pump includes a plunger that reciprocates, a cylinder in which a guide hole for guiding a reciprocating motion of the plunger extends in an axial direction, and a pump body including a third room (cylinder insertion hole) into which the cylinder is press-fitted, and a pressurizing chamber that communicates with the third room and has a volume increased or decreased by the reciprocating motion of the plunger. The pressure of a fixed gap generated between the cylinder and the pump body is set to be equal to or higher than pressure of a sliding gap generated between the plunger and the cylinder.