Hello, My name is ***** ***** I'll be assisting you. I'm sorry you're having problems.
This issue can be caused by you either needing a new charge cable, or the processor locking up.
FIRST, try a reset of the Kindle.
To do this, simply press and hold the power button on the Kindle for 40 FULL seconds, then release and wait a full minute for it to reboot (do no press anything else within that minute).
If this does not cure the issue, try that reset up to THREE TIMES and wait the full minute to see if it reboots.
If you're still running into problems, then try plugging the Kindle into the charger for 15 minutes, then eject it and try the reboot a couple of more times.
If those steps do not work, then I would nest suggest purchasing a new charger cable for the Kindle Fire (at the link below):
If you need further assistance let me know. Before you go, PLEASE DO click at least a 3 STAR RATING, at the top of your screen. That is how I am credited for my efforts by the site. You can follow up any time as needed at no additional cost.
Do you need further assistance with this?