Currently there are no hitches available for the 2005 Neon. This is mostly due to the exhaust system routing on the vehicle. This is a common problem among performance minded vehicles, and is also a problem for the SRT4 Caliber. Your best step would be to contact your dealer and see if Dodge provides a solution. If not, you would have to go to a fabrication shop and have them build and install a hitch. view full answer...