As New York City airports struggled to recover from the crowds and delays caused by hundreds of canceled flights over the weekend, passengers vying to get on one overbooked flight at Kennedy International Airport became so angry that airport police had to be called in, officials said.

The episode occurred Tuesday morning when passengers — who had already been waiting two days to be put on a flight to Haiti, after their initial plane was grounded by the snowstorm — were told that the flight was overbooked and that they would have to wait another day. Some in the crowd responded angrily and the Port Authority police were called in to restore order, said Susan Elliott, a spokeswoman for Delta Air Lines.

“The crowds got very unruly,” said Steven Coleman, a spokesman from the Port Authority of New York and New Jersey. “People were yelling and screaming, and nobody at Delta wanted this to escalate any further.” He said that the scene was quieted within an hour.

The airline said it had added a second flight to Haiti on Wednesday to accommodate the remaining passengers, who have been provided with meals and lodging since the initial flight was canceled Sunday, Ms. Elliott said. “It’s been a challenging few days,” she added. “For the most part, passengers we deal with understand that we’re not in control of the weather.”

Over the weekend, 550 flights were canceled at Kennedy, 400 at Newark Liberty and 250 at La Guardia. The cancellations have created cascading delays through the busy holiday travel season. While there were no other reported scenes of passenger uprisings, the frustration was widely shared.

Two German tourists, Steffen Bromberger, 31 and Simone Ziebell, 29, were among the passengers who had been camped out at Kennedy Airport since Sunday night, when their return flight to Germany was abruptly canceled. Their luggage, however, did make it to Frankfurt — leaving them without provisions –- and the airline did not provide food or lodging. “In five years, we’ll be laughing about this,” Mr. Bromberger said. “But I do think it’s important to get home and get new underwear.”