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Web smyrna, tn zip code 37167: Web 37167 is the only zip code for smyrna, tn enter an address to find the zip+4 and ensure faster mail delivery, or. Basic data & usps preferred city name preferred name, usps smyrna, tn 37167 zip code type:. This postal code encompasses addresses in the city of. Web zip code 37167 is located in the city of smyrna, tennessee and covers 54.998 square miles of land area. Web zip code 37167 is located mostly in rutherford county, tn. Web look up a zip code ™. Enter a corporate or residential street address, city, and state to see a specific. Look up a zip code.