Durbin-Kennedy Empire State Building Counter-Terrorism Act of 1997 - Amends the Brady Handgun Violence Prevention Act to prohibit the disposition of a firearm or ammunition to, and the possession of a firearm or ammunition by, an alien who has been admitted to the United States under a nonimmigrant visa.

Requires the statement required from a firearms transferee to contain a statement that the transferee is not an alien who has been admitted to the United States under a nonimmigrant visa.

Sets forth provisions regarding: (1) exceptions for aliens admitted to the United States for lawful hunting or sporting purposes and for certain official government representatives, officials, distinguished foreign visitors, and foreign law enforcement officers; and (2) waivers.