Damascus is a census-designated place and an unincorporated area in Montgomery County, Maryland, United States. In the early 20th century, there existed an incorporated municipality lasting a quarter century. It had a population of 17,224 as of the 2020 census. Damascus is located at the intersection of two major roads in upper Montgomery County: Ridge …Damascus is a census-designated place and an unincorporated area in Montgomery County, Maryland, United States. In the early 20th century, there existed an incorporated municipality lasting a quarter century. It had a population of 17,224 as of the 2020 census. Damascus is located at the intersection of two major roads in upper Montgomery County: Ridge Road and Damascus Road.