The Foreign Secretary warned that if the Prime Minister's deal is not passed by MPs in next week's "meaningful vote" that it could lead to a "Brexit paralysis" which could mean the United Kingdom doesn't leave the EU.
"Clearly the Conservatives have learnt nothing from the last two defeats if they believe Parliament will accept a measly 90 minute debate with only one amendment".
He also took a swipe at Commons Speaker John Bercow, who he said was "willing to frustrate the government at every opportunity".
The vote came hard on the heels of last night's Commons defeat for the government on a motion meant to limit its powers to change taxes in the event of a no-deal Brexit.
- What did Mr Bercow say?
It is created to stop the Prime Minister from delaying her response to a defeat in next week's vote and thus push the final decision over Brexit even closer to the 29 March leave date.
He told Sky News that Parliament would "try hard" to prevent a "no-deal" scenario, with more Brexiteer MPs expected to support Theresa May's current deal.
Speaking on the BBC's Radio 4 Today programme, he also said any attempt by politicians to frustrate Brexit would damage the UK's worldwide reputation.
But in a vote on Tuesday that raised the chances of a defeat in next week's historic vote, MPs including former ministers approved an amendment that will curtail the government's tax powers in case of a no-deal Brexit.
'I realise there are a few of my colleagues who believe that if the government's deal is rejected we should simply do nothing and leave the European Union on March 29 with no deal at all and with all, to my mind, the calamitous consequences that would follow on from it, ' he told the BBC.
Mr Corbyn had earlier suggested that Brexit could be delayed if Labour won a general election, to allow him more time to go back to Brussels and renegotiate the Withdrawal Agreement.
Mr Hunt told BBC Radio 4's Today programme: 'I'm saying this would be (an) incredibly damaging breach of trust and it would also be very bad for Britain's reputation overseas, having decided toleave the European Union, if we in the end for whatever reasons found we weren't able to do it'.
He acknowledged that MPs opposed to Brexit were flexing their muscles, telling Today: "After this week the idea that Parliament is going to do nothing at all is highly unlikely".
"The big risk and what people worry about is that we don't actually deliver what people voted for", he announced on Friday.
The PM's deal was "not perfect" but it did "broadly deliver Brexit", despite arguments about the Irish backstop, he added, and urged MPs to "come together" to back it.
The Foreign Secretary was speaking on the third day of \ debate in the House of Commons ahead of next Tuesday's crucial vote on the prime minister's Brexit plan.
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The Prime Minister's official spokesman later said Mr Grieve's amendment did not specify the timescale for a vote on the motion, but that the Government would "move quickly" if the deal is defeated.
"But I do not think that no deal will be good for this country and I am committed to making sure that we find an alternative". The first defeat limits the government's financial powers in the event of a no-deal departure.
Mrs May retorted: "The only way to avoid no-deal is to vote for the deal".
The House voted by 308 to 297 in favour of the amendment tabled by the pro-Remain Tory MP Dominic Grieve with the support of other Conservative rebels.
Corbyn said if May had confidence in her deal, she should "call that election and let the people decide".