Kensington is an unincorporated community in southwestern Hanover Township, Columbiana County, Ohio, United States. Lying along U.S…Kensington is an unincorporated community in southwestern Hanover Township, Columbiana County, Ohio, United States. Lying along U.S. Route 30 at its intersection with Ohio State Routes 9 and 644, it has a post office with the ZIP code 44427. Kensington is a part of the Salem micropolitan area, 23 miles miles east of Canton and 30 miles southwest of Youngstown.