'I passionately hope MPs will find a way to back the deal I've negotiated with the European Union, a deal that delivers on the result of the referendum and is the very best deal negotiable.
"You are exhausted of the infighting, you're exhausted of the political games and the arcane procedural rows. You're exhausted of the political games and the arcane procedural rows", she said.
May told voters tired of a Brexit saga that has dragged on for nearly three years: "You want this stage of the Brexit process to be over and done with".
"I voted against a delay and I fully understand the public's frustration with the current situation - the sooner we leave, the sooner we can get on with negotiating our own trade negotiations".
May's initiative marked the latest twist in more than two years of negotiations that have left British politics in chaos and her authority in tatters.
They are likely to put forward proposed changes, known as amendments, to this motion setting out alternative ways forward on Brexit.
A string of MPs reacted angrily to May's comments, with some even labelling it an "attack". May will "have to indicate a way forward before this date for consideration by [EU leaders]", the leaders said in a statement.
May is meeting European Union leaders on Thursday in Brussels, where she is expected to request an extension to Article 50 - the legal process for Britain leaving the the bloc - after Parliament rejected her deal twice by substantial margins.
He also said he would not "bullied by anyone in government into supporting something that I think will do our country a great deal of harm".
Asked whether he believed that the French president will veto an extension, Irish preime minister Leo Varadkar said: "No".More news: The Islamic State’s caliphate has been defeated, U.S.-backed forces say
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Speaking during a press conference after midnight in Brussels, the British Prime Minister observed: "I think what this decision tonight does is show the clear choice that is open to MPs". This position has made it impossible in practice to call a further vote in advance of the European Council. You never reached out to the 48% & to other parties to create a compromise. "Theresa May has pitched herself tonight against Parliament on the side of the people", Laura Kuenssberg, the BBC's political editor, wrote for the broadcaster's website. It is the populism of Steve Bannon and Donald Trump.
'History will judge you at this moment. "Our country deserves so much better than this".
Earlier she met the Westminster leaders of the Opposition parties, including the DUP's Nigel Dodds.
Britain's Prime Minister Theresa May (2R), gestures as she talks with Luxembourg's Prime Minister Xavier Bettel (2L), Netherlands' Prime Minister Mark Rutte (L) and Belgium's Prime Minister Charles Michel (3L) on March 21, 2019 in Brussels. May does not appear to have the numbers to get her deal through in a vote next week. "The Brexit betrayal is hers".
The Labour leader twice declined to rule out the option of halting Brexit by revoking the Article 50 letter informing Brussels of Britain's intention to quit, though a party spokesman later said revocation was "not in any way necessary".
French president Emmanuel Macron said only a short "technical" extension was on offer and if MPs reject the agreement "it will guide everybody to a no-deal for sure".
Brexit uncertainty has dogged the British economy for almost three years and that uncertainty has only become more acute over the past few months.
She said: "The British people voted for Brexit and I want this government to deliver it".
The deadlock over how long to delay the U.K.'s exit from the European Union plunges the country deeper into a political crisis that now seems likely to push the Brexit endgame into the final hours before next week's deadline.