§ 4519.41.
Snowmobiles, off-highway motorcycles, and all-purpose vehicles may be operated as
follows:
(A) To make a crossing of a highway, other than a highway as designated in division
(A)(1) of section 4519.40 of the Revised Code, whenever the crossing can be made in safety
and will not interfere with the movement of vehicular traffic approaching from any direction
on the highway, and provided that the operator yields the right-of-way to any approaching
traffic that presents an immediate hazard;
(B) On highways in the county or township road systems whenever the local authority
having jurisdiction over such highways so permits;
(C) Off and alongside a street or highway for limited distances from the point of
unloading from a conveyance to the point at which the snowmobile, off-highway motorcycle,
or all-purpose vehicle is intended and authorized to be operated;
(D) On the berm or shoulder of a highway, other than a highway as designated in
division (A)(1) of section 4519.40 of the Revised Code, when the terrain permits such
operation to be undertaken safely and without the necessity of entering any traffic lane;
(E) On the berm or shoulder of a county or township road, while traveling from one
area of operation of the snowmobile, off- highway motorcycle, or all-purpose vehicle to
another such area.

in another note.. deputy sheriff was at a friends house helpin hook up a winch and said in ohio in 2010 atv's will be registered and given plates and given more acess to roads.. is this true cuz i can't find that info anywhere..