Rockport is a home rule-class city in Ohio County, Kentucky, United States. The population was 266 at the 2010 census. The city is descr…Rockport is a home rule-class city in Ohio County, Kentucky, United States. The population was 266 at the 2010 census. The city is descriptively named for the large rocks on a nearby river bank. Rockport is rooted in a small settlement known as Benton's Ferry, which developed along the Green River in the early 19th century. When a post office was established in 1863, the settlement used the name "Rock Port". Originally located primarily along the river, most of the city has since shifted to the bluff above the river.