A high-pressure fuel pump of a simple construction is capable of distributing the position of contact between a tappet and a cam so as to improve durability of the tappet without causing seizure of a piston. A cylinder is arranged in a housing, and the piston is received in the cylinder for sliding reciprocation so that fuel is sucked into the cylinder and pressurized by the piston. The tappet is arranged inside one end of the housing for reciprocation, and contacts the cam, which rotates with a camshaft of an engine, so as transmit a driving force of the engine to the piston. A sleeve is arranged between the tappet and the housing, and clearance fitted to an outer peripheral surface of the tappet and an inner peripheral surface of the housing. The tappet is caused to rotate on its own axis by a frictional force generated between the cam and the tappet.