Abstract: The object is to shorten the installation length of the pump. The high-pressure pump has a pump housing with a bore, in which a pump element having a cylinder, a piston longitudinally movable therein and an outlet valve is received. The cylinder is screwed into the bore and axially fixed at a bore step. The outlet valve has a ball, received in a hollow-cylindrical extension of the cylinder and loaded on its end remote from the valve seat by a leaf spring secured to the cylinder. The hydraulic high-pressure pump is usable in particular in motor vehicle brake systems having an anti-lock and possibly traction control system.