You didn't mention which Norton product. They make a few, you know.
You also didn't mention if you're running Windows 98, xp, pro, home or a Mac.
So on a total whim, does this sound familiar:
You install Norton AntiVirus 2004 (NAV) and you complete the product activation successfully. However, whenever you restart the computer you are prompted to activate the program again. If you enter the activation code each time, then after a number of restarts you see the message "The trial period has expired. This product has been disabled because you have not activated it."
IF so there's a fix on the Symantec(Norton) site.
Link: http://tinyurl.com/x5sm
If you're looking for an alternative to Norton internet security try:
http://www.my-etrust.com/microsoft/index.cfm?