More than 600 angry Delta Air Lines passengers were stranded at JFK Airport yesterday after three of its 767s developed mechanical problems in the space of six hours.

The three flights were scheduled to depart for European destinations. A flight to Barcelona turned back after taking off; the others, to Dublin and Istanbul, never left the ground.

“The delays are incredible, there are no supervisors to talk to and my luggage is held hostage,” said Wendy Levy after spending 10 hours at the airport.

A Delta spokeswoman said one plane had engine problems, another a faulty indicator light, and the third delay involved “maintenance.”

Asked about three of the same-model jets having problems at the same airport at virtually the same time, she conceded, “These issues do not happen very often.”