Customers flying to any airport in the region during the next few days should check ahead on the status of their flights.
Hurricane Harvey had strengthened to a Category 4 storm by the time it made landfall Friday night, with winds up to 130 miles per hour.
Several people said they scrambled to reroute their flight as soon as they were notified. No inbound or outbound flights are occurring at this time.
The airline has almost 500 flights a day out of Bush International Airport. At LAX, more than 30 flights to and from Houston were canceled for Monday and Tuesday. Passengers on other airlines were even given permission to take the United flight home.More news: 3-year-old Australian girl found shot dead in Sydney home
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The preemptive cancellations are created to prevent delays and cancellations of flights across the system, as it prevents aircraft and flight crews from being stuck and unable to fly. Nearby San Antonio was also expected to notice an impact.
Floodwaters prevented access to and from Bush and Hobby, making it impossible for most passengers, flight crews, vendors and airport support personnel to reach the airports.
Flight-tracking website FlightAware.com said 1,664 flights were canceled as of midday Sunday as a result of the storm. Both Bush Intercontinental and Hobby Airport are expected to stay shut down until at least Wednesday. It is unclear when Hobby will reopen, with the FAA suggesting sometime mid-week.