| | Hamilton County | OH | 39061 | | Cincinnati, OH-KY-IN 17140 | Cincinnati-Wilmington,
OH-KY-IN 178 | Central | metro county (urban) | nonspecialized | https://maps.google.com/?q=HamiltonCounty+OH |
| | Hancock County | OH | 39063 | | Findlay, OH 22300 | Findlay-Tiffin, OH 248 | Central | nonmetro county (rural) | manufacturing-dependent | https://maps.google.com/?q=HancockCounty+OH |
| | Hardin County | OH | 39065 | | | | | nonmetro county (rural) | nonspecialized | https://maps.google.com/?q=HardinCounty+OH |
| | Harrison County | OH | 39067 | | | | | nonmetro county (rural) | mining-dependent | https://maps.google.com/?q=HarrisonCounty+OH |
| | Henry County | OH | 39069 | | | | | nonmetro county (rural) | manufacturing-dependent | https://maps.google.com/?q=HenryCounty+OH |
| | Highland County | OH | 39071 | | | | | nonmetro county (rural) | nonspecialized | https://maps.google.com/?q=HighlandCounty+OH |
| | Hocking County | OH | 39073 | | Columbus, OH 18140 | Columbus-Marion-Zanesville,
OH 198 | Outlying | metro county (urban) | recreation | https://maps.google.com/?q=HockingCounty+OH |
| | Holmes County | OH | 39075 | | | | | nonmetro county (rural) | manufacturing-dependent | https://maps.google.com/?q=HolmesCounty+OH |
| | Huron County | OH | 39077 | | Norwalk, OH 35940 | Cleveland-Akron-Canton,
OH 184 | Central | nonmetro county (rural) | manufacturing-dependent | https://maps.google.com/?q=HuronCounty+OH |
| | Jackson County | OH | 39079 | | | | | nonmetro county (rural) | manufacturing-dependent | https://maps.google.com/?q=JacksonCounty+Ohio |