Hello there,
And welcome to Apple Discussions!
How long have you left it to charge? Sometimes, it can take up to 30 minutes or more for the iPod to gain enough to juice to power on especially depending on how you are charging the iPod. I would wait a little while and then try resetting the iPod with it still connected to a power source. To do this, press and hold the
Select and
Menu buttons together until the Apple logo appears. More ways to troubleshoot this issue, see this Apple support document.
[iPod's battery doesn't charge|http://support.apple.com/kb/ta44551]
Otherwise, if no luck, your iPod's battery may be shot and will need to be replaced either through Apple, a third party repair company, or yourself.
B-rock