High-pressure fuel pump

The invention relates to a simple structured highpressure fuel pump. A fuel pump comprises a reciprocably-supported cylinder (20), a pressurizing chamber (12) using part of the outer surface of the cylinder as the wall surface which move to change the internal volume, a fuel intake passage (10) forming a fuel passage which introduces fuel to the pressurizing chamber (12), a fuel discharge passage (11) for the compressed fuel coming out from the pressurizing chamber (12). A fuel intake valve (5) is provided in fuel intake passage (10). A fuel discharge valve (6) is provided in said fuel discharge passage (11). A connecting passage (105) connects upstream side of the intake valve (5) in the fuel intake passage (10) and the downstream side of it. A check valve (102a) which flows fuel from the fuel discharge flow passage (11) to the fuel intake passage (10) is provided in the connecting passage (105).