The measure also would let drivers take home any wild turkeys or wild boars that become roadkill.
The bill cleared on a 94-1 vote Wednesday, sending it to the Senate.
Motorists who want the dead animals would have to report the accident to a wildlife or law enforcement officer within 24 hours. The officers would be required to investigate and give the drivers certificates for legal ownership.
The bill would let another person, institution or charity take unclaimed wild turkeys.
The measure also adds feral hogs to Ohio’s game list.