Abstract: A constant velocity joint comprises two shafts with respective opposed ends carrying respective flanges whose external shape is part-spherical and in which respective part-cylindrical recesses are formed, the axes of which intersect at the geometrical centre of the joint. Two spiders are provided, each including a part-cylindrical portion slidably received in a respective part-cylindrical recess and a part-annular cylindrical portion, the axes of the part-cylindrical portion and part-annular cylindrical portion being perpendicular to one another. A central member affords two part-annular cylindrical recesses, the axes of which are coincident and constitute the axis of the central member. Each recess slidably received a respective one of the part-annular cylindrical portions. The axis of the recesses passes through the geometrical centre.