A universal wheel driving system includes a sun gear receiving power from a power source, a ring gear, of which a rotation axis moves relatively to a rotation axis of the sun gear on a rotation plane parallel to a rotation plane of the sun gear, the ring gear being concentrically connected to a wheel, a gear train allowing relative movement between the rotational axes of the sun and ring gears, and to generate a continuous power transmission between the sun and ring gears, a carrier forming the gear train, and supporting in position a rotation axis of a final pinion engaged with the ring gear constant with respect to the rotation axis of the ring gear, and a plurality of suspension modules providing shock-absorbing and damping during relative movements of the ring gear and carrier with respect to the sun gear.