Bundy is believed to have committed dozens of murders during a blood-soaked career, which began in the Seattle area in the early 1970s. He was executed in 1989.
"We're a college bar. I wouldn't want to cause damage to our image in any way," Zach Peterson, who has owned Dante's bar since 1996, told the Seattle Times. "I had mixed feelings about the whole thing."
The British TV show "Conversation With A Serial Killer" follows psychics as they visit places where serial killers have been to sense whether their presence remains.
"We try to get inside the heads of the criminal from a psychological point of view," producer Charlotte Wheeler said.
After giving the matter much consideration, Peterson allowed the show to film part of its Ted Bundy episode in his pub.
"I think it's just interesting history, that's all," said Peterson, whose father Larry bought the tavern with a former fraternity brother in 1968. The bar reportedly still looks much the same as it did when Bundy hung out there.