Boaz is an unincorporated community in Graves County, Kentucky, United States. Boaz, KY is located in the northern part of Graves County, Kentucky in the Jackson Purchase Region. The zip code for the city is 42027 and it covers only one city in one county with 552 square miles of land area and 5 square miles of water. The area code of the city is 27…Boaz is an unincorporated community in Graves County, Kentucky, United States. Boaz, KY is located in the northern part of Graves County, Kentucky in the Jackson Purchase Region. The zip code for the city is 42027 and it covers only one city in one county with 552 square miles of land area and 5 square miles of water. The area code of the city is 270. Other towns near Boaz include Folsomdale, Hickory, Lowes, Melber and Lone Oak. There are a total of 65 cities within a 30 miles range of Boaz.