Bridgeport is a city in Wise County, Texas, United States. The population was 5,923 in 2020. In 2009, Bridgeport was named by the Texas Leg…Bridgeport is a city in Wise County, Texas, United States. The population was 5,923 in 2020. In 2009, Bridgeport was named by the Texas Legislature as the Stagecoach Capital of Texas.