Zip Code 76021 is located in the state of Texas in the Dallas - Fort Worth metro area. Zip code 76021 is primarily located in Tarrant County. The official US Postal Service name for 76021 is BEDFORD, Texas. Portions of zip code 76021 are contained within or border the city limits of Bedford, TX, Colleyville, TX, Hurst, TX, and Euless, TX. Zip code 76021 is within area code 682 and area code 817.