At a prime minister's questions, where the prime minister again struggled with her voice, keeping her answers brief, the Labour leader began by urging May to back Wednesday evening's motion seeking to rule out no deal, in place after her plan was rejected the previous night.
Mr Corbyn countered by saying her Brexit strategy is "in tatters" and her deal is "dead", before criticising Mrs May for having "refused to listen".
"The Prime Minister's negotiations have failed".
Tory MPs remain split over what should happen next to try and resolve the deadlock in Parliament.
Under a temporary scheme 87% of imports by value would be eligible for zero-tariff access - up from 80% at present.
Moments after MPs voted, the prime minister told them that her deal...
In January, May's Brexit plan was rejected by the MPs with a 230-vote margin.
Tory former Brexit minister Steve Baker said he was "very confident" there won't be a general election.
Labour wants no-deal to be "taken off the table" and is likely to back an amendment - a legislative tool - tabled by MPs Jack Dromey and Caroline Spelman ruling out the United Kingdom leaving without an agreement at any stage in the process.
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On Wednesday morning the government announced that most imports into the United Kingdom would not attract a tariff in the event of a no-deal Brexit.
A cross-party amendment selected for consideration aims to "enable the House of Commons to find a way forward that can command majority support" on March 20, which could also start the process for "indicative votes". To take no deal off the table, it is not enough to vote against no deal - you have to agree to a deal.
The decision to drop all checks to avoid friction at the UK's land border with the European Union will be temporary while longer term solutions are negotiated. "Tonight she's not even showing the leadership to whip on no deal".
The North West Cambridgeshire MP said: "Given no-deal Brexit is the Government's default position, will the Prime Minister kindly inform the House she will instruct the Chancellor to make available whatever funds are required to ensure the country is as best prepared as possible in the event we do leave on a no-deal basis".
She will tell MPs whether she will vote for no deal or not when she opens Wednesday's debate.
Although the PM managed to convince about 40 Tory MPs to change their mind, it was not almost enough to overturn the historic 230 vote defeat she suffered on the same deal in January.
He said: "'The unilateral statement is a weak Government trying to fool its own backbenchers because the European Union has not even signed up to it".
Meanwhile, some leading Tory Brexiteers and the DUPhave rejected the deal.
Crispin Blunt said: "They should have resigned".