A hydraulic machine is provided comprising a cylinder unit (3) having a plurality of cylinders (4a, 4b) which are located on a circle line around an axis of rotation of said cylinder unit (3), a valve plate (6) located at an axial end of said cylinder unit (3) and having a through-going opening (8) for each cylinder (4a, 4b), and a port plate, said valve plate (6) and said port plate resting against each other in sliding contact at a contact face, wherein a pressure in each cylinder (4a, 4b) acts on a pressure area on a side of said valve plate (6) opposite said port plate. In such a hydraulic machine the risk of leaking should be kept small. To this end said pressure area (17) deviates from a circular form.