Abstract: A ball and socket-type Universal joint including an elongate female part with an elongate, central, polygonal socket opening entering one end and defining a flat axially disposed bottom and a plurality of elongate circumferentially spaced, radially inwardly disposed, longitudinally straight and laterally convex flats; an elongate male part with a shank and a semi-spherical polygonal head at one end of the shank and having a plurality of elongate circumferentially spaced, radially outwardly disposed, longitudinally extending, laterally straight and convexly curved facets. The head of the male part is engaged in the socket opening of the female part with opposing points on the flats and facets, along the central portions thereof, in circumferential driving and longitudinal sliding bearing engagement with each other. The other end of the female part is connected with an end of one elongate rotatable work piece, and the other end of the male part is connected with an end of another elongate work piece.