More than 1,000 domestic and international flights in the United States were canceled on Tuesday as extreme weather pummeled the country from coast to coast.

Chicago O’Hare International Airport had the most cancellations as of Tuesday night, with 109, according to FlightAware, a flight tracking website. La Guardia Airport had 69 and Ronald Reagan National Airport had 66.

The Federal Aviation Administration briefly issued a ground stop at O’Hare on Tuesday afternoon, citing excessive snow and ice. It later issued one for John F. Kennedy and LaGuardia airports in New York City, in place till about midnight Eastern time.

Some passengers also experienced long delays. Flights at J.F.K. were delayed by about three hours on average, and La Guardia by about two hours on average, New York City’s emergency management agency said late Tuesday night.

Marc and Mary Dicklin of Ames, Iowa, and members of their family, including their two college-age sons and their fiancées, watched their phones and laptops at Des Moines International Airport as they waited to leave for a ski trip in the Swiss Alps.

Mr. Dicklin said that they had been at the airport since 6 a.m., and that their original flight out of Des Moines was canceled just before boarding.

Kayla Kovarna, a spokeswoman for the Des Moines Airport Authority, said one of the two main runways at the airport was closed because of wind, and the other was closed from 7 a.m. to 11 a.m. as crews plowed and chemically treated its surface. According to FlightAware, at least 13 flights scheduled to depart the airport on Tuesday were canceled and a dozen others were delayed. Ms. Kovarna said she expected more disruptions.

Mr. Dicklin said on Tuesday afternoon that his family’s rebooked flight to O’Hare was still showing on information boards as departing on time, and that he hoped airport crews in Chicago would keep runways clear for their connecting flight to Zurich as the storm made its way across the Midwest.

His mother, Gisela Dicklin, was traveling with the group. She was born in Bavaria, Germany, Mr. Dicklin said, and was eager to return to the area during the winter months.

“Keep your fingers crossed,” she said.

But as Tuesday evening approached, they learned that their flight to Chicago had been canceled and that they had been rebooked on an outbound flight on Thursday morning. A six-day Swiss ski getaway had suddenly been cut to four days.

Mr. Dicklin tried to keep a sense of perspective.

“It’s a day we will remember, and you don’t remember most of them,” he said.

Not all of the disruptions on Tuesday were related to the weather. Hundreds of flights were canceled as airlines planned to inspect nearly 200 Boeing 737 Max 9 planes. The National Transportation Safety Board is investigating the midair blowout of a panel on an Alaska Airlines Max 9 in a near-disastrous accident on Friday night.

The travel plans of some passengers could be disrupted for days.

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