There are a few things to try with an iPod that won't turn off.
First of all, be sure that your "Hold" switch isn't turned on (the hold switch is located on the top of your iPod).
Then, after you’ve verified that your iPod’s Hold switch isn’t on, here a few things to try:
--
Reset the iPod. Be sure you're doing it the correct way: Press and hold the
Menu and
Select (center) buttons together for about 5-10 seconds.
Be sure to also try connecting your iPod to a power source while doing this step several times.
--
Try toggling the Hold switch. Flip the "Hold" switch on your iPod (located on the top) back and forth several times.
Again, this includes connecting the iPod to a power source while you're toggling the Hold switch back and forth (this worked for someone who's iPod wasn't responding to anything).
--
Try letting your iPod's battery drain out. Use your iPod enough that its battery finally goes dead, asking to re-charge it.
At this point, connect your iPod to your computer's USB or a charger, and leave it there for a couple of hours.
Now see if your iPod will turn off after trying that.
-- If none of these work, you might want to try
Restoring your iPod. Note that this does delete all the contents off the iPod (which is why it is somewhat more of a "last resort"), but often clears up iPod issues you might be facing.
For more info on this process, take a look at this Knowledge Base article:
Restoring your iPod to factory settings
-Kylene