High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Oak Hills High School is a four-year public secondary school located in Bridgetown North, Green Township, Hamilton County, Ohio. Oak Hills often is referred to as "OHHS" by its students and faculty. It is run by the Oak Hills Local School District. With approximately 3,000 students enrolled annually, Oak Hills is the largest of the ten public high schools within the Greater Miami Conference. Oak Hills is also the largest high school in the state of Ohio.