Abstract: The invention is directed to a piston pump for a hydraulic vehicle brake system. For simple and inexpensive manufacturability, the piston pump embodies an outlet conduit as a groove in a sleeve bottom and a sealing part. As a result, the sleeve and the sealing part can be manufactured in a non-cutting manner by means of forming. Another advantage of letting the outflow conduit into the sleeve bottom is that the outlet conduit is disposed a small distance in the axial direction from a valve seat of an outlet valve, which counteracts noise production.