Olmstead is an unincorporated community in Logan County, Kentucky, United States.Olmstead was a station on the railroad. It is also the site of an elementary and middle school. A post office has been in operation until recently in Olmstead since 1862.It is the location of, or nearest community to, Cedar Grove Rosenwald School which was a historic Rosenwald School built in 1928. The school is listed on the National Register of Historic Places.