Abstract: The invention relates to a hydraulic machine useful in pumping, drilling, etc. especially at great distances, comprising a housing defining a multiplicity of eccentric working chambers. A rotor is mounted to rotate in each chamber and comprises, in a radial recess, a distribution and separation element which separates the chamber into two spaces: an inactive space emptied by a lateral bore in the housing; and an active space that receives fluid under pressure via a shaft solid with the rotor and a hollow made in the separation element. The fluid under pressure rotates the rotor by exerting its thrust on the separation element.