If the battery isn’t too far gone, here’s how to revive it:
Owners of the Kindle Fire HD have commented on numerous problems with the battery and charging. Some simply refuse to charge, whereas others will charge only a fraction, and charge very slowly.
Plug the device into the Kindle A/C adapter (not your computer) and let it charge for a few hours.
Be sure the charging light is lit — sometimes a drained Kindle will stop charging a few seconds after you plug it in.
Click here: Kindle fire Technical Support