Warning to those with rooted Kindle Fire’s, the update to 6.2.2 will take away your root access. However, Android Police hacker resident Justin Case has already solved that problem via his BurritoRoot application.
There are instructions on how to use Case’s Burrito Root to restore root access to your updated Kindle Fire here at XDA.
The update to 6.2.2 is an over the air update and should come to your Amazon Kindle Fire automatically. You can manually install it here. As our friends at Liliputing have pointed out if you have installed custom CyanogenMod or MIUI Rom’s on your Kindle Fire, you will not receive the update.