In a vehicle steering transmission device, a first gear is rotatable on a
rotational axis to rotate in accordance with a vehicle steering
operation, a second gear is rotatable on the rotational axis and
connectable to a vehicle wheel so that an orientation of the vehicle
wheel is changed, an intermediate gear engages with the first and second
gears, a support member is rotatable on the rotational axis while
supporting the intermediate gear in such a manner that the intermediate
gear is rotatable on another rotational axis which another rotational
axis intersects the rotational axis and extends perpendicularly to the
rotational axis, and a driving device drives the support member to rotate
on the rotational axis so that a differential rotational motion is
generated between the first and second gears.