Both a stuck reverse switch and shorted wiring can be causes for reverse lights to stay on. Under normal circumstances, the reverse lights turn off as soon as the vehicle is shifted out of reverse.
Either the reverse switch is defective or out of adjustment.
Reverse light switch failure
To let others know that you are breaking.
The reverse light switch is stuck or defective.
this problem is common with yukons and tahoes... it really depends on when the drivers door was last shut. reverse lights stay on for 30 sec. after drivers door is shut.
Where is the fuse located for the reverse lights
Check your fuses
Sounds like the reverse switch is either damaged, or wired backwards... Did you have your clutch done recently?
discovery only foward drive in revese
Cracked electrical wire caused this to my car once.
Reverse switch on trans. is, most-likely, broken or stuck on somehow. You need to check it and/or replace it.