Abstract: The body of the proposed axial piston machine incorporates a cylinder block ith cylindrical spaces. The axes of the cylindrical spaces are parallel with the longitudinal axis of the engine crankshaft and the cylindrical spaces accommodate reciprocating pistons. Each piston is connected to one end a rod. The other end of the rod is articulated with the swash plate, which is mounted via a first support, on the inclined journal of the shaft installed on supports in the body and which is articulated to the body by universal joints. The machine of the invention provides a second spherical support for the swash plate. The second support is connected with the frame and the center of the support is essentially aligned with the geometric center of the connecting member of the universal joints. The bisector plane which is the plane of symmetry of the universal joints passes through the center of the support.