New Boston is a city in Bowie County, Texas, United States. It was named after an early store keeper, W.J. Boston. It is part of the Texarkana, Texas - Texarkana, Arkansas Metropolitan Statistical Area. Its two area codes are 430 and 903. Its zipcode is 75570. It is in the Central Time time zone. The population was 4,808 at the 2000 census. New Boston apartments for rent comparison page shows most up to date rent information on New Boston apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.