The Prime Minister told the Opposition leader his party would “never speak for Britain” as she claimed Labour’s muddled thinking over Brexit meant “they can't speak for themselves”.
Despite Mr Corbyn insisting his party will not seek to frustrate Brexit, it has been reported up to 80 of his MPs could defy his leadership and vote against Article 50 and the triggering of EU divorce talks.
The Labour leader’s shadow cabinet have also been accused of failing to offer a clear view of their party’s position on Brexit, with MPs still bitterly split on issues such as immigration and membership of the EU Single Market.
During Prime Minister’s Questions in the House of Commons this afternoon, Mrs May was grilled by Mr Corbyn ahead of her trip to meet new US President Donald Trump on Friday.
Ahead of the pair’s talks, likely to focus on deepening post-Brexit trade ties between the US and UK, Mr Corbyn asked: “How confident is she of getting a good deal for global Britain from a president who wants to put America first, buy American and build a wall between his country and Mexico?"
He also accused the Prime Minister of "bad judgment" over her lost appeal to the Supreme Court on invoking Article 50 without the consent of Parliament, as well as the Brexit blueprint Mrs May unveiled last week.
Theresa May mocked Labour's split over Brexit
They can't speak for themselves – they'll never speak for Britain
Mr Corbyn said: "The bad judgment of threatening European partners while offering a blank cheque to President Trump.
"The bad judgment of wanting to turn Britain into a bargain basement tax haven.
"So will you offer some clarity and some certainty and withdraw the threats to destroy the social structure of this country by turning us into the bargain basement she clearly threatens?"
In reply, the Prime Minister seized on the chance to highlight Labour’s split over Brexit, amid reports shadow home secretary Diane Abbott recently forced Mr Corbyn to backtrack on his call for EU immigration controls in a major speech.
May's Brexit speech: Europe reacts
Tue, January 17, 2017
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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
Mrs May said: "We will be out around the world with the EU, America and other countries negotiating good free trade deals for this country that will bring prosperity to this country.
She added: "He wants to talk about Brexit, I have to say to him, he’s the leader of the party, he can’t even agree with his shadow chancellor (John McDonnell) about Brexit.
“The shadow chancellor can't agree with the shadow Brexit secretary (Sir Keir Starmer), the shadow Brexit secretary disagrees with the shadow home secretary (Ms Abbott).
"And the shadow home secretary has to ring up the leader and tell him to change his mind.
"He talks about us standing up for Britain, they can't speak for themselves – they'll never speak for Britain."