The hydrostatic piston machine has a smooth cylindrical pintle which is fixedly mounted in the housing and on which a cylinder block is rotatably mounted. The guide member for the pistons is eccentrically mounted about the pintle and has means thereon for supplying and/or taking off the torque of the machine. The eccentricity of this guide member is adjusted by a movable guide means within the housing. This guide means is controlled by the pressure mdium flowing through the machine.