Chris Evans has said footage for the new Top Gear series filmed near the Cenotaph in London is "disrespectful" and should not be broadcast.
Co-host Matt LeBlanc and a professional driver performed stunts near the war memorial on Whitehall.
Speaking outside the BBC on Monday, Evans described the images as "terrible".
"They look so disrespectful," he said before adding that there are "mitigating circumstances".
He continued: "I saw the images this morning for the first time and I felt the same as everybody else."
In response to a question as to whether it reflected positively on Top Gear, he said: "This is not a good story, no."
"We're all mortified by it, so absolutely, 100%, it should not be shown."
Evans admitted he does not have the final say over the fate of the footage.
"But if it was my decision, then I would say, that particular scene shouldn't be shown and I think everyone will agree," he said.
LeBlanc was seen driving around Westminster as shooting took place for the new series of the BBC Two show, which is due to air in May, and photos show large tyre circles left on streets surrounding the war memorial after the stunt.
Speaking on his BBC Radio 2 show earlier, Evans said he "completely understood the furore" around the photographs and admitted it had been "unwise" to film anywhere near the Cenotaph.
He said: "It doesn't matter what actually happened, it doesn't matter what the circumstances were that could explain this away, what is important about this is what these images look like and they look entirely disrespectful which is not and would never be the intention of the Top Gear team or Matt (LeBlanc).
"On behalf of the Top Gear team and Matt, I would like to apologise unreservedly for what these images seem to portray.
"There have been some very incendiary comments written alongside these pictures and I completely understand this furore but the Top Gear team would never ever do that.
"Retrospectively it was unwise to be anywhere near the Cenotaph with this motorcar."
Evans said LeBlanc had been filming in a car called the Hoonicorn alongside racing driver Ken Block and filming could continue on Monday and Tuesday.
The stunt has been described as "gravely disrespectful" by retired Colonel Richard Kemp.
He told the Telegraph: "This is a sacred tribute to millions of people who have done far more for their country than Chris Evans and Matt LeBlanc ever will."
He added: "Jeremy Clarkson was certainly no saint but I don't believe he would have ever performed a stunt in such bad taste."