Current law lets eight counties in the Lower Peninsula and every county in the Upper Peninsula authorize the vehicles on shoulders.
Measures approved 103-5 and 101-7 by the House Thursday would allow the vehicles on more roads if municipalities pass an ordinance. Local governments could ask the state transportation department for permission to allow off-road vehicles on highway shoulders.
Another bill approved 80-28 would expand off-road vehicle uses not requiring a license.
Backers say the legislation would boost tourism, and complain the off-road vehicle trail system is fragmented and riders should have freedom to travel limited distances. Critics have safety concerns.
The bills are expected to reach Gov. Rick Snyder soon.