If you want to add your Kindle Fire to your router's whitelist to ensure you can connect to your network, you'll need to know the device's MAC address. While your IP address changes from network to network, your MAC address is unique to the device. Entering the MAC address of the Kindle Fire into your firewall or router settings will tell the device or software to allow your device to access the Web.
Open the Settings menu
Open the “Settings” menu by selecting the gear icon in the upper right corner of the screen.
Select “More,” then select “Device.”
Find the Kindle Fire's MAC address
Scroll down the page until you find the Kindle Fire's MAC address.
If you're looking for the current IP address of your Kindle Fire, tap “Wireless” in the “Settings” menu and touch the network to which you are connected. The IP address will display next to the connection. Remember that this isn't the Kindle's IP address, but the address assigned to it by the network.