Abstract: A hydrostatic radial piston pump has a housing with a suction chamber, an eccentric, a pressure valve member spaced from the eccentric and having a convex support, and a movable structural unit arranged between the eccentric and the pressure valve member and including a cylinder with a supporting face and a sealing edge spring-biased against the support of the pressure valve member, and a piston with a piston shoe spring-biased against the eccentric, wherein the supporting face has a circumferential groove subdividing it into an outer and inner annular face portion, the outer annular face portion has at least one substantially radial groove communicating the annular groove with the suction chamber, and the ratio of the force of a biasing spring and the dimension of the supporting face does not exceed substantially 2.5 kp/cm.sup.2.