The Transport Secretary added that the millions who voted to Leave the European Union would feel "cheated" and putting a stop to Britain's withdrawal from the EU could end centuries of "moderate" politics the United Kingdom has enjoyed since the English Civil War.
In her plea for support two days before the parliament's vote, May said lawmakers must not let down the people who voted for Brexit, Reuters reported.
Theresa May has warned of a "catastrophic and unforgivable breach of trust" in democracy if Brexit doesn't happen and the United Kingdom remains in the EU.
My message to Parliament this weekend is simple: it is time to forget the games and do what is right for our country.
Mrs May faced further opposition to her deal from her former Brexit secretary Dominic Raab.More news: Ivanka Trump Is 'Being Considered' For a Different Role In The Administration
Failure to deliver Brexit would be "incredibly damaging" for democracy and something the United Kingdom would regret for "many, many generations", he said.
Mr Hunt suggested that legally binding assurances from Brussels over the deal's controversial backstop arrangements should be enough to allay the fears of many MPs over the long-term impact of the agreement. May is expected to suffer a big defeat when parliament votes on Tuesday.
During an interview with BBC Radio 4's Today programme, Ms Rudd three times declined to say whether she would remain a member of the government if it opted for a no-deal Brexit.
However, Corbyn's priority is to force a national election and he said he would propose a vote of confidence in the government "soon" if May loses on Tuesday.
Described as "a very British coup", the plan would see May lose control of parliamentary business to MPs, threatening her ability to govern, according to the newspaper.More news: Bungie and Activision are Splitting Up
Cable said this could be done by revoking Article 50, the mechanism which triggered the exit process, or by holding a second referendum.
Dominic Grieve, the former attorney general, suggested the March 29 exit date should be removed from domestic legislation if the prime minister's Brexit deal is defeated, before the United Kingdom goes to the European Union to ask for an extension to Article 50.
Corbyn declined to say whether a Labour manifesto for a snap election would promise to deliver Brexit, arguing that this would be up to party processes, but strongly indicated his preference would be to depart with a deal that keeps the United Kingdom in a customs union and with access to the single market.
He told Marr: "Clearly if Theresa May's deal is voted down, clearly if a general election takes place and a Labour government comes in - an election would take place February, March time - clearly there's only a few weeks between that and the leave date, there would have to be time for those negotiations".More news: Trump Refutes Reports About Hiding Details of Talks With Putin