Abstract: A Semi-Universal Torque Coupling comprising elongate normally axially aligned torque-transmitting male and female parts, said female part has a central elongate polygonal socket opening with circumferentially spaced radially inwardly disposed longitudinally extending flats entering one end thereof and terminating at a bottom; said male part extends outwardly from the female part and has an outer work-engaging portion and an inner semi-spherical polygonal ball engaged in the socket opening and substantially conforming in radial cross-section with the radial cross-section of the socket opening; an elongate helical spring positioned centrally in the socket opening and connected with and extending freely between the bottom of the socket and the ball; and an annular keeper with a central opening through which the ball cannot move carried by the female part adjacent the forward open end of the socket opening.