Mount Hope is an unincorporated community and census-designated place in eastern Salt Creek Township, Holmes County, Ohio, United States. At the 2020 census, Mount Hope had a population of 197. Until April 13, 2024, a post office with the ZIP code 44660 was operational; however, due to the building lease expiring, local postal operations w…Mount Hope is an unincorporated community and census-designated place in eastern Salt Creek Township, Holmes County, Ohio, United States. At the 2020 census, Mount Hope had a population of 197. Until April 13, 2024, a post office with the ZIP code 44660 was operational; however, due to the building lease expiring, local postal operations were temporarily relocated to the post office in the nearby village of Mount Eaton in Wayne County.