The Leeds East MP said the Prime Minister and her party would take the opportunity to turn the UK into a “bargain basement” economy and called for checks to be put in place.
Chancellor Philip Hammond recently warned that if the EU pursues a vindictive or punitive Brexit it could result in Britain dramatically lowering corporation tax and becoming the "Singapore of the West".
Mr Burgon told RT: “What worries me, what worries the Labour Party, is that when Britain leaves the European Union the Conservative government is going to try and use that opportunity as a smokescreen to push through the kind of free-market, bargain-basement tax haven, off the shore of Europe vision that they have.
Mr Burgon then attacked Mrs May for making her landmark Brexit speech, in which she announced the UK would seek to leave the single market, to the media and not in Parliament.
Richard Burgon slammed Theresa May for not giving her Brexit speech in Parliament
She may prefer the glare of the media cameras but what’s really important is that Parliament is shown respect
“It is very important in any case that Parliament gets to scrutinise the particulars of Theresa May’s version of Brexit,” said the Labour politician.
“She may prefer the glare of the media cameras but what’s really important is that Parliament is shown respect.”
The MP also warned the Prime Minister about Nicola Sturgeon’s calls to hold a second Scottish independence referendum after her speech.
“It’s quite right that the people of Scotland had their say over their own independence and they voted to stay in the United Kingdom,” he said.
May's Brexit speech: Europe reacts
Tue, January 17, 2017
Politicians and celebrities tweet their reaction as Theresa May unveils her 12 point plan for Britain leaving the EU.
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The British Prime Minister Delivers Her Brexit Speech
The shadow justice secretary blasted the Prime Minister over her vision for Brexit
“I don’t want to see through flamboyant or inflammatory rhetoric, the Prime Minister risk Scotland’s union in the UK.”
Mr Burgon also spoke about the re-nationalisation of Britain’s railways and insisted the Labour Party was sticking to its guns on its policy regardless of Brexit.
“You mentioned the renationalization, or the taking into public ownership, of our railways. That is Labour’s policy, supported by 73 per cent of the public,” he said.
“If Britain voted to stay in the European Union then my view, and Labour’s view, would be that if we’d been elected as a government on a policy of taking the railways and placing them under public ownership we should do that come what may, and defend our position accordingly.”