Home of the Swinging Bridge. Byram, Mississippi is the newest municipality in Hinds County. Whether you are visiting our neighborhood for the first time or are a seasoned fan…WE WELCOME YOU! Byram offers a safe, tight-knit community and is the ideal location to live, work or start a business. Our community boasts an exceptional quality of life. It’s home to three Hinds County Public Schools and the historic Byram Swinging Bridge, listed on the national register of historic places. People who live here get to enjoy the ammenities of southern living without the hustle and bustle of the big city. See you soon!