"The remain majority in Parliament does not reflect the will or the vote of the people", she wrote on her website.
Andrew Bridgen, a eurosceptic from May's Conservative Party accused her of pursuing a "scorched earth" policy of destroying all other Brexit options to leave lawmakers with a choice between her deal and a delay of a year or more. Yet it has also twice rejected, by historically overwhelming margins, Prime Minister Theresa May's deal with the European Union for something in between.
May planned to spend the next few days trying to persuade opponents in her Conservative Party and its parliamentary allies to support the withdrawal agreement, which Parliament has resoundingly defeated twice. We need to decide whether we are willing to pay the huge price of going it alone, of which the £50 billion divorce bill will only be the start.
The EU must increase pressure on Britain to move forward on its exit from the bloc, the European Parliament's Brexit coordinator told German television on Thursday, after the vote in the Commons.
Brussels has begun preparations for a possible delay to Brexit beyond the current March 29 deadline after MPs backed an extension to the Article 50 process.
Today's voting - the third this week - comes after MPs sent a message they do not want to leave the European Union without an agreement, rejecting a no-deal exit by 321 to 278 votes. He said he hoped the United Kingdom would "leave as soon as possible in an orderly fashion" if Parliament backs May's withdrawal agreement next week.
And former cabinet minister Esther McVey - who resigned her role over Mrs May's Brexit deal - also suggested she might vote in favour of it. Despite frustration with London, EU leaders have indicated they would accept a "technical extension" of a few weeks if a deal is in the bag.
May also needs to win over the Northern Irish Democratic Unionist Party (DUP), which has so far refused to back her plan. "In the last 24 hours Parliament has decisively rejected both her deal and no deal".More news: Champions League king Ronaldo delivers for Juventus
But her Attorney General Mr Cox told Parliament the risk of getting locked into the backstop indefinitely had not changed, and it was later rejected by 149 votes.
A new vote on Prime Minister Theresa May's divorce deal - which lawmakers have already rejected twice - is likely next week, when those same lawmakers will have to decide whether to back a deal they feel does not offer a clean break from the European Union, or accept that Brexit could be watered down or even thwarted by a lengthy delay.
The prospect of a long extension period would be the stuff of nightmares for hardline eurosceptics, anxious that Brexit may never happen and could strengthen PM May's hand as she pushes to get her deal over the line.
If May arrives at the Brussels summit deal-less, Tusk will argue that a short delay will achieve little but prolong uncertainty and, to avoid a disruptive no-deal, Britain should be asked to go away and sort out what it really wants - giving time for a new election or second Brexit referendum.
Faced with a parliament that offered the spectacle of its divisions in a series of votes this week, the default scenario remains for the moment that of a Brexit without agreement to March 29, even if a majority of deputies spoke against such an outcome on Wednesday.
The vote will take place before March 20. "The Labour Party leadership are determined to deliver Brexit, which would harm our country".
German Justice Minister Katarina Barley said Britain must use any extra time productively.