Tenn. Code Ann. § 12-10-120

The powers herein conferred upon authorities created under this chapter may be exercised by two (2) or more such authorities acting jointly. Two (2) or more municipalities may by acting jointly incorporate a public building authority to effectuate the purposes of this chapter. When two (2) or more municipalities incorporate such an authority, each and every requisite pertaining to the application for incorporation, qualification of applicants, certificate of incorporation and amendment of certificate shall, as nearly as may be practicable, be incumbent in like manner upon each municipality joining in the creation of such public building authority.