The Omni Hotel is located in downtown Nashville and does not offer shuttle service to and from the Airport.  However, there are numerous ground transportation options available please follow this link:  http://www.flynashville.com/ground-transportation/Pages/default.aspx

Additionally the Nashville Metropolitan Transportation Authority operates a bus shuttle to and from the airport to the downtown area Hotels.  Please follow this link to obtain shuttle information: http://www.nashvillemta.org/maps/route18.pdf