Mike Gapes claimed voters were unaware a vote for Leave would mean a vote to quit the EU’s trading bloc.
His comments come despite leading figures on both sides of the referendum campaign making it clear Brexit would result in leaving the single market.
Boris Johnson and Michael Gove, both key figures in the official Vote Leave camp, also made similar promises.
Labour MP Mike Gapes said he would vote against Article 50
I’m going to vote against triggering Article 50
Despite this, the Labour MP for Ilford North insisted it was not clear enough leading up to the June 23 vote.
“The referendum said we would leave the European Union, it didn’t say we’d leave the customs union or the single market,” he told the BBC’s Victoria Derbyshire programme.
“I think we are going to be put on an escalator by this process which basically Parliament won’t be able to stop.
“We will either be faced with a position that is either very bad for our economy and our national interests or an even worse one of no deal at all.”
The Labour MP criticised the Government for not "having a plan" over Brexit
After losing a Supreme Court ruling on Tuesday, the Government now requires the consent of both Houses of Parliament both it can begin the process of divorcing Britain from the EU.
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Number 10 says Theresa May is still on track to deliver her promise of triggering Article 50 by the end of March despite the ruling – as MPs could be given their say on the matter as early as next week.
When pushed on whether he would vote through in favour of Article 50, Mr Gapes said he could not support the bill.
A Supreme Court ruled on Tuesday the Government allows Parliament a vote on Article 50
“I’m going to vote against triggering Article 50,” he said.
“We’ve got no White Paper, we have got no plan and once we are off this escalator we won’t be able to stop it.”
The Labour MP is at odds with Jeremy Corbyn who has said his party would not frustrate the formal process of the leaving the EU.
But, in a statement released after Tuesday’s Supreme Court ruling, the leader said Labour would seek to amend the legislation the Government has been forced to proceed in order to prevent the UK becoming a “bargain basement tax haven”.
Jeremy Corbyn said Labour would not "frustrate" the triggering of Article 50
“Labour respects the result of the referendum and the will of the British people and will not frustrate the process for invoking Article 50,” he said.
“However, Labour will seek to amend the Article 50 Bill to prevent the Conservatives using Brexit to turn Britain into a bargain basement tax haven off the coast of Europe.
“Labour will seek to build in the principles of full, tariff-free access to the single market and maintenance of workers' rights and social and environmental protections.
“Labour is demanding a plan from the government to ensure it is accountable to Parliament throughout the negotiations and a meaningful vote to ensure the final deal is given parliamentary approval."