Abstract: A pressurized fluid motor comprising a case, constituting its stator, and including connection ducts, a cylinder block rotatable about a first axis relative to a reaction member that is stationary relative to the case, and an internal fluid distributor that is likewise stationary relative to the case and that has distribution ducts. The case has a connection and fixing face that is plane and perpendicular to the first axis and into which the connection ducts open out. There exists a second axis perpendicular to and intersecting the first axis and lying in the plane of the face, relative to which the centers of the ends of the connection ducts are disposed in such a manner that the distance between each of them and said second axis lies in the range one-fourth to once the distance between said first axis and the point of the face that is furthest from said first axis, with the ends of the connection ducts all being situated on the same side of said second axis.