TSA and the airlines are required to check and confirm that you are properly identified prior to your flight for safety and security. You may experience inconveniences when you present your identification during check-in due to mistaken identity or incorrect information. TSA's Traveler Identity Verification Program works with the relevant parties (including airlines) to resolve any inaccuracies or inconsistencies that may have resulted in misidentifications.

So, Are You on the No-Fly List?!

If you receive a boarding pass, you are not on the No-Fly List. Most commonly, passengers who are told that they are on the No-Fly List have, in fact, a similar name to an individual on the Watch Lists.

Source: TSA