As of the census of 2000, there were 4,808 people, 1,968 households, and 1,334 families residing in the city. The population density was 1,377.1people per square mile (531.9Square kilometers). There were 2,229 housing units at an average density of 638.4per square mile (246.6Square kilometers). 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. According to the United States Census Bureau, the city has a total area of 3.5square miles (9.1Square kilometers), all of it land.