A diesel pump having enhanced durability in a high pressure environment, capable of being produced at high productivity, and at low cost. The diesel pump is provided with a cylinder formed in a pump housing, a plunger reciprocatably provided in the cylinder, and a drive mechanism for driving the plunger. The cylinder is a separate part from the pump housing and is mounted in the pump housing. The cylinder consists of sulfur-less alloy steel, is a tubular part and may be press-fitted in the pump housing. The front end of an outlet joint reaches the cylinder, and a fuel discharge route directly connects to the outlet joint from the cylinder without passing through the pump housing.