A driving hub for a vehicle, particularly a bicycle, comprising a hub axle, a hub sleeve enclosing the hub axle, a driver, a friction gear, a coupling arrangement as well as a control arrangement for infinitely variable adjustment of the transmission ratio of the friction gear, is provided with a ball friction gear comprising a driving ring and a driven ring, a plurality of friction balls frictionally connecting the rings to one another, a friction ball carrier rotationally rigidly connected to the hub axle and a control arrangement for jointly pivoting of the ball spindles, said driving ring and said driven ring being in frictional contact with the friction balls on the respective side of the friction balls which faces away from the axis. A driving hub of this kind is of simple design, can be produced inexpensively and exhibits a high degree of efficiency.