The FAA, in a government filing, said the mandatory safety checks were prompted by reports of failed sheer rivets in the elevator power control actuator bellcrank, used in adjusting the pitch of the aircraft.
The FAA said its airworthiness directive was issued to prevent continued operation with failed shear rivets and to prevent "certain failures or jams" causing a condition "resulting in a significant pitch upset and possible loss of control of the airplane."
The FAA's new order supercedes a series of inspections of 767s, Boeing's popular twin-aisle aircraft, after problems with the same rivets were discovered in 2000.
The FAA estimated the order affects 415 US-registered airplanes.
Shares in Dow member Boeing were up 0.7 per cent at USD 137.63 in morning trade on the New York Stock Exchange.