An airport spokesman said that the authorities were evacuating the western end of the terminal but that flights were continuing.
"It's a possible physical threat," authorities informed, without elaborating.
"Vehicle traffic has been stopped on the west side of the terminal, however, passengers may continue to access the east side of the terminal," they added.
Montgomery said that several airlines had ticket counters inside the area evacuated -- including American Airlines, Aero Mexico, Lufthansa and British Airways -- and flight delays were possible.
The security alert came in the wake of terror attacks in Brussels that left around 35 dead and scores more injured.
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