LAX Airport does not sit on a fault line, but is a mere three miles away from another one (the Newport Inglewood Fault Zone). According to the Los Angeles World Airports report on LAX and its earthquake readiness, FAA regulations stipulate that "any three-inch or larger hole in a runway necessitates shutdown of airport operations," but that is likely only to come about by an earthquake stronger than today's.
Los Angeles Airport Open and Operating Normal After 4.4 Earthquake
Happy St. Patrick's Day, LA!
Operations are normal this morning at Los Angeles International Airport, despite the city shaking from a 4.4-magnitude earthquake at approximately 6:35am PST. It was originally reported as a 4.7-magnitude, but was downgraded. According to Dr. Lucy Jones of the US Geological Survey, the quake was a shallow one and “epicentered in the Santa Monica Mountains between Westwood and Encino, closer to the Valley side, about five miles below the surface."
The city is conducting an emergency survey by ground and air to confirm that the earthquake hasn't caused any damage, but the LA Times did speak with a Westwood bagel shop owner who noted that "No bagels fell off the shelves and 'everything stayed in place.'"