Airport Security Act of 2013 - Directs the Assistant Secretary of Homeland Security (Transportation Security Administration [TSA]) to establish a program to prohibit all but specified authorized individuals from possessing a firearm at a covered airport, including any individual who enters the airport, or exits public transportation at it, for air travel, meeting another individual, picking up cargo, or employment.
Directs the Assistant Secretary to require airport operators to: (1) display conspicuous notices summarizing the program at each airport entrance, and (2) require law enforcement personnel to monitor the airport to prevent violations and escort air travelers who are authorized to carry a firearm.
Prescribes criminal penalties for nonauthorized individuals who knowingly possess a firearm at a covered airport.