The effort is designed to reduce the amount of traffic in the central terminal area.
"It gets them out of a ticket. It also gives them that time to relax, and put their car in a secure parking lot and be able to walk their loved ones to depart or properly meet them at the curb," said LAX Airport Police Lt. Frank Ramirez.
The free parking deal is slated to run through Monday or until all the cards have been handed out.
Drivers headed to LAX on Sunday are warned be prepared because it's expected to be the busiest travel day of the year.