Speaking on the Today programme on BBC Radio 4, Mr Gore said looking at current weather conditions was enough to convince work needed to be done.
The Nobel Peace Prize winner said: “Mother nature is the chief advocate for fighting the climate crisis right now.”
But Webb hit back and suggested the former vice president’s second film on tackling climate change, An Inconvenient Sequel, exaggerated facts.
“Yet in your film, you have repeated shots of storms and you, as you put it, join the dots and suggest that they have to be because of man-made climate change.
“You’re going a little bit further than all the scientists would.”
“You’ve had clear evidence here in the UK, just in the last couple of years, the all-time record downpours and the high temperatures and just this past week in southern Europe, the record high temperatures and fires.
“All of these things are consistent with what the scientific community has been saying for decades.”