Apartments For Rent In Putnam County Ohio . As of may 2022 the median rental rate in putnam county is $1,012 which is $200 (17%) less than the median of $1,212 for ohio and $486 (32%) less than the median of $1,498 for the united. Apartments for rent in putnam. Foreclosed Homes For Sale In Jackson Ms Foreclosed Homes from sorellaoutsider.blogspot.com Use our rental property search to find putnam homes for rent! 6 apartments for rent in putnam county, oh. The median putnam county, oh rent is $492 which is below the national median rent of $1,469.