The MP for North East Fife grew angry after being accused of defying the will of the majority of voters in the EU referendum who chose to leave the European Union.
LBC host Clive Bull was left bemused by Mr Gethins' and other SNP members' stances.
While the bill is expected to pass the House easily, many MPs are set to vote against the 'Brexit bill'.
Stephen Gethins, SNP MP, said he would not back Article 50 because Scotland voted to Remain
- Britons sent ‘THOUSANDS’ of requests BEGGING to remain EU citizens
- EU Referendum result must be respected by our MPs
Bull asked Mr Gethins: "Aren't [the government] afraid of people trying to reverse the result of the referendum?"
"You're talking about voting against Article 50, which the people of the UK voted for."
However, Mr Gethins, 40, argued his constituency voted to Remain overwhelmingly in the Brexit vote.
He said: "I have an issue by where my constituents voted to Remain part of the EU overwhelmingly and a lot of jobs in my constituency, think about the University of St Andrews, and all the research that comes in and benefits each and every one of us."
MPs will vote on the Article 50 bill on Wednesday Government Loses Brexit Vote Appeal Tue, January 24, 2017
Britain's most senior judges ruled that Prime Minister Theresa May does not have the power to trigger the formal process Article 50 for the UK's exit from the European Union without Parliament having a say.
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Issued by the Supreme Court of (top row, from the left) Lord Neuberger, Lord Mance, Lord Kerr, Lord Sumption, (bottom row, from the left) Lady Hale, Lord Clarke, Lord Wilson and Lord Hodge, who agreed with the majority decision that the Government could not trigger Article 50 without Parliamentary approval.
Well we didn't [lose the Brexit vote] in Scotland
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However, Bull lost his temper and snapped back at the MP exclaiming: "Yes, but they lost the vote".
The angry MP replied: "Well we didn't in Scotland."
The LBC host then pointed out it was a "national vote" and asked if how Scotland voted was "really that significant".
"Of course it's significant," the SNP politician shouted back.
Speaking in the House of Commons on Tuesday, Mr Gethins said: "Passing this bill and turning your back on our amendment would turn its back on the progress made and disrespect the devolution settlement.
"I'd urge members to vote for our amendment, otherwise this is a backward and damaging step and it is an act of constitutional and economic sabotage."
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