- Smyrna Airport, also known as the Smyrna/Rutherford County Airport, is a public airport located in Smyrna, Tennessee, USA. It serves as a general aviation airport and is a reliever airport for Nashville International Airport (BNA). Smyrna Airport has two runways and offers various services and facilities for private and corporate aircraft. It is owned and operated by the Smyrna/Rutherford County Airport Authority.