"We were expecting a vacation to remember the rest of our lives, and we will definitely remember it for the rest of our lives, but it won't be a pleasant memory," Ozlen told WABC-TV.
Ozlen said they were on their third room -- the first two lacked heating -- when his girlfriend discovered bite marks on her body.
The YouTube video shows a close-up of the couple's bedbug-infested mattress.
Ozlen said the hotel stay led them to miss the Times Square ball drop and a Rockettes show on New Year's Day, Ozlen's birthday.
"On my birthday, I'm in the hospital, and I'm washing the best clothes that I brought that I own for this vacation, and during that process many of the clothes became damaged, because they're not meant to be dried," Ozlen said.
He said cleaning the couple's belongings after the bedbug discovery caused hundreds of dollars worth of damage.
Ozlen said his girlfriend's body is still inflamed from at least 75 bedbug bites and she could suffer permanent scarring from the ordeal.