Ohio Rev. Code § 4582.20
A port authority shall be exempt from and shall not be required to pay any taxes on property, both real and personal, or any combination thereof, belonging to any port authority that is used exclusively for any authorized purpose. This exemption shall not apply to any property occupied and used during a tax year by a person who is a lessee of the property as of the tax lien date for that tax year under a written lease with a remaining term longer than one year. The immediately preceding sentence shall not apply to real or personal property, or any combination thereof, leased to a lessee, which property would be exempt from taxes under Chapter 5709. of the Revised Code if such property belonged to that lessee. Nothing in this section eliminates the lessor's or the lessee's obligation to comply with other provisions of the Revised Code to obtain an exemption for such property.
R.C. §4582.20