Flash Player no longer comes built-in on the new Kindle Fire second generation or the Kindle Fire HD (they are released in September 2012). Adobe is making Flash obsolete, so it's no longer on any new tablets or mobile devices.
There's a good workaround to make Flash work on the Kindle Fire, however. See here for the details:
You need to install the "1 mobile market" from here http://www.1mobile.com/app/market/. Then install the Dolphin Browser from the "1 mobile market." Then install adobe flash from here for the Kindle Fire HD http://www.mediafire.com/?33ew28ztmlar44e and here for the regular Kindle Fire http://www.mediafire.com/?ktt26yv3j6jt1iv.
Hope that helps.