Ohio

No person may bring into the state a non-domestic animal unless the possessor: obtains an entry permit; health certificate certifying the animal is free of infectious diseases; and a certificate of veterinary inspection. Persons in the state possessing non-domestic animals do not need to obtain a permit.

Law Link 1
Law Link 2
Law Link 3
Law Link 4

Disclaimer: Please check all local - city, county, township ordinances in your area first before getting any hybrid or exotic animal.