He added: 'If we were, as a political class, not to deliver Brexit, that would be a fundamental breach of trust between the people and the politicians.
Following the recent conclusion of an EU-Japan free trade agreement, Mr Abe is expected to restate his country's commitment to an ambitious post-Brexit bilateral arrangement with the UK.
But in an interview with BBC Radio 4, Mr Hunt contradicted the Prime Minister and said that Parliament is "very committed to try to stop no-deal" and that it would be an unlikely outcome.
The foreign secretary said that unless MPs delivered on the referendum result it would be a "breach of trust" with the electorate and bad for the country's reputation overseas.
Analysts at ABN AMRO points out that in a new development in United Kingdom politics, opposition Labour Party leader Jeremy Corbyn today called for a General Election to resolve the parliamentary impasse over Brexit.
"I think that is something that we would regret for many, many generations".
A month after postponing a vote on the deal to avert near-certain defeat, May urged Parliament to support it to prevent Britain leaving the European Union on March 29 with no agreement on exit terms and future relations, an outcome that could cause economic and social upheaval.
It was not possible for the minority Tory administration to control what happened in Parliament, and Speaker John Bercow had shown that he was "willing to frustrate the Government at every opportunity", he said.
Oil rises one per cent on US, China trade talk optimism
Xi promised to fix the trade imbalance issue with the United States by starting to purchase U.S. agricultural products. This week, a US delegation had three days of meetings with Chinese counterparts in Beijing on their trade disputes.
"I don't like the prospect of a no deal". "We have seen from this week that parliament has the ability to assert itself and to shape outcomes".
MPs insisted that if the PM's deal is voted down next Tuesday, she must set out a "Plan B" to Parliament within three sitting days.
Mrs May was boosted on Thursday by two Tory backbenchers - her former policy adviser George Freeman, and Trudy Harrison - indicating they will back her deal, as well as by a call from Japanese PM Shinzo Abe for the United Kingdom to avoid no-deal.
The vote is set for January 15, and May is still expected to lose after the DUP, which props up her government, have reiterated they will still vote against her deal over opposition to the Irish backstop arrangement.
Amid the political stalemate, pro-Brexit members of Parliament are urging the government to ramp up preparations for leaving the European Union without a deal.
"There is a question of extension of Article 50 and that may well be inevitable now given the position that we are in, but of course we can only seek it because the other 27 (member states) have to agree", he said.
"Isn't the prime minister bringing back exactly the same deal she admitted would be defeated four weeks ago?" he asked.
The Daily Mirror says Mrs May has "caved in" on workers' rights to save her deal.