A radial piston machine has a rotor which turns within the confines of a surrounding annular control face and is provided with substantially radial cylinder bores each accommodating a radially slidable piston having an outer end provided with a piston shoe formed with guide portions projecting circumferentially of the rotor beyond the associated piston and having contact faces which are in sliding engagement with the control face. Each of the contact faces has a hydrostatic bearing constituted by a depression surrounded by a sealing land, and recesses are formed in the respective contact faces outwardly spaced from the sealing lands, so as to separate the latter from outwardly adjacent portions of the contact faces.