An FDNY rescue team plucked a family of seven out of a high-performance boat on the verge of capsizing in the East River on Saturday night.

A 15-foot Yamaha jetboat with a Bronx family on board was returning home to City Island after cruising past the Statue of Liberty and eating at a New Jersey restaurant when 3- to 4-foot waves pounded the boat, flooding it with water near E. 34th St.

A passing New York Waterway boat, the Frank Sinatra, put out a mayday call at 7:02 p.m., the FDNY said.

The team from Marina 6 arrived at the scene minutes later and pulled the three children and four adults out of the boat.

"When I saw the [rescue] boat they looked like angels," said Ata Delorbe, 36, the father of two of the children - Jazmin, 4, and David, 10.

The firefighters and their captain took the Delorbes to safety at the E. 23rd St. pier.

Capt. Lou Guzzo, 48, said the situation could have been dire had they not showed up when they did.

"It was the right place at the right time," he said. "If we didn't get to them, they would have gone under."

Yvette Delorbe, 35, who was on the boat with her husband, David, 33, and son, Nelson, 11, was relieved.

"Thank you, God," she said. "Thank you, to the fire department."

Nelson was still reeling from the experience a couple of hours later.

"I was shocked," he said.

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