The city of Nashville, Tennesse has a few laws and regulations in their books regarding air guns. They are as follows:
Chapter 11.12 OFFENSES AGAINST PUBLIC PEACE – Metro Government of Nashville and Davidson County, Tennessee – Code of Ordinances
11.12.080 – Discharging weapons
B. It shall further be unlawful for any person to fire or discharge any air gun or air pistol, spring gun or spring pistol, or other device or firearm which is calculated or intended to propel or project a bullet, pellet, air or similar projectile, whether propelled by spring, compressed air or gases, explosive or other force-producing means, within the urban services district of the metropolitan government.
Article V. Unlawful Activities – Metro Government of Nashville and Davidson County, Tennessee – Code of Ordinances
13.24.470 – Hunting and trapping wildlife—Carrying firearms.
A. It is unlawful for any person to hunt or trap any of the game or fowl within any parks located within the area of the metropolitan government, which are under the jurisdiction and control of the board of park commissioners.
B. It is unlawful for any person, other than an official park policeman on duty or other law enforcing officer, to carry or discharge a firearm of any description or any BB gun or air rifle within any of the parks of the metropolitan park system, which are under the jurisdiction of the board of park commissioners.
(Prior code § 29-1-46)
The state of Tennessee does now have any state laws regarding air guns other than prohibitive sale to minors.