Constant velocity joint assembly for transmitting a torque from engine and transmission to wheels of motor vehicles, consisting of: - an inner race with 6 ball tracks or more but not more than 8 for running with the bearing balls with a diameter of 13,0mm or more but not more than 28,0mm, - an outer race with 6 ball tracks or more but not more than 8 for running with the bearing balls, made of steel with carbon content of 0,45% or more but not more than 0,58%, with thread and with a spline with 22 teeth or more but not more than 44, - a spherical cage keeping bearing balls in the ball tracks of outer race and inner race in proper angular position, made of material suitable for carburizing with carbon content of 0,14% or more but not more than 0,55%, and - with a grease compartment, - capable of working at constant speed at variable articulation angle not higher than 52 degrees