Neil was forced to continue asking the Liberal Democrat leader the same question over what Mr Farron would do in the event of another Brexit vote.
Mr Farron criticised the presenter for continuing to talk over him during BBC’s The Andrew Neil Interviews.
Neil began: “I want you to answer the simple point.
“I’m trying to get you to answer the question.
Andrew Neil blasted Tim Farron during an extremely heated BBC debate over another Brexit vote
“Let me try to politely put it again, in this second referendum, would you campaign to remain in the European Union.”
The Lib Dem leader, who was speaking over the host as Neil asked his question, insisted he was “answering politely”.
He replied: “When the deal is put to the British people, the British people have the right to accept that deal.
“In that case we leave the European Union, on April 1 2019, or to reject it and to Remain.
“I’ll be very clear with you, as I have been over the last 12 months.
“I cannot see any chance of us getting a better deal than the one we have now.”
Neil stepped in insisting that Mr Farron would campaign to reject any future Brexit deal and to keep the UK in the Brussels bloc.
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“Mr Farron can I just be clear, no no you can’t keep talking over me," Neil said.
“How this works is I ask questions and you try to answer them.”
As the presenter attempted the ask another question, the Lib Dem leader interrupted again leaving Neil seething.
He raged: “No no you’re doing it again Mr Farron.
The TV election debate – in pictures Wed, May 31, 2017
The televised debate saw Jeremy Corbyn, Amber Rudd, Paul Nuttall, Caroline Lucas, Angus Robertson, Tim Farron and Leanne Wood go toe-to-toe
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The politicians taking part in the debate
“Mr Farron you are not in last night's debate, you are in a one on one.
“Mr Farron please be quiet and listen to my question.”
The row continued as the pair continued to speak over each other before the BBC presenter snapped.
“Mr Farron let me try one more time, you are not going to heckle me out of this,” Neil fumed.
The Liberal Democrat leader finished by suggesting that he would vote to remain in a possible future Brexit vote, as he could see no better deal with the EU than the UK current has.