The motor shaft and the wipers are'nt connected properly(the timing is off), just disconnect the wipers from the motor. Turn your car on and cycle the motor and it should be back at the home position. Pull your wipers back down and reconnect and all should be fine.Thats if you put in a new wipermotor. If not, maybe the wiper switch is bad.
A bad pulse board or window wiper motor can cause your wipers to stay in the "up" position.
check the fuses and relays
It sounds like the wiper motor is malfunctioning. If your camaro has intermitten wipers there is a control module built in the motor that controls the off position.
The wiper motor has a switch inside of it. When they are turned off and the wipers go to the down position it trips the switch in the motor that tells the computer they are in the down position. If that switch in the motor is faulty, the wipers are repositioning until the switch is tripped to the off position. THE FIX.... Replace the wiper motor.
If the windshield wipers work when pushing the lever down but not when they are turned on all the time, the problem could be in the wiper motor relay switch. There are two different relay switches for the windshield wipers, so that if the one fails a person can still clear the windshield manually.
Windshield wipers don't work
Why are there windshield wipers inside the car?
Turn the wipers off, pull the wiper arm off, and replace it in the correct down position.
I have a 2004 and the same problem, did you ever find out why? Thanks Jeff
Replace the windshield wipers.
They come on when you turn on the windshield washer, but only when the headlights are turned on.
This happens sometimes. Try pressing the chrom button to release windshield washer fluid. The wipers will wipe the windshield 4-5 times and should recede to their correct resting position on their own.