She said that a "people's vote" is not what the people want, nor what she wants.
May has a tough day ahead as she arrives in Brussels to lobby her European partners to extend the Brexit date from March 29 until June 30 to push through the agreement she reached with the EU in November.
The prime minister faces a severe backlash after her late-night address to the country sought to pit the public against Parliament, in what was branded as a "despicable" and "disgraceful" speech by MPs from across Britain's political parties.
UK Prime Minister Theresa May infuriated MPs when she blamed them for the delay to Brexit in a blatant and risky attempt to turn public opinion against parliament.
"In the light of the consultations I have conducted over the past days, I believe a short extension will be possible but it will be conditional on a positive vote on the withdrawal agreement in the House of Commons", Tusk told reporters.
Ms. May has insisted for months that the March 29 deadline would not be extended. United Kingdom lawmakers have already rejected the deal twice. "You are tired of the infighting, tired of the political games and the arcane procedural rows, tired of MPs talking about nothing else but Brexit when you have real concerns about our children's schools, our National Health Service, knife crime", she said.
A deal that delivers on the result of the referendum and is the very best deal negotiable.
After nearly two years of talks, May and the European Union struck a divorce agreement late last year, but MPs have overwhelmingly rejected it twice.
However, the Prime Minister's proposed withdrawal agreement has twice been rejected by Parliament, and earlier this week speaker John Bercow said for a third meaningful vote to be brought before the Commons the deal would have to be "fundamentally different - not different in terms of wording, but different in terms of substance".
May told Tusk that despite the ruling "it remains my intention to bring the deal back to the House".
The EU would be likely to respond by then offering a more lengthy Article 50 extension that would accommodate a referendum - with some polls now appearing to suggest that a small majority could vote to halt Brexit entirely.
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The compulsive pursuit of substance abuse and addictive behaviors is causing severe unhappiness. While the United Kingdom did not make the top 10 it did manage to make the top 20 in the list.
European Commission President Jean-Claude Juncker had warned May against requesting a Brexit delay beyond the European elections, unless Britain takes part, an EU spokeswoman said.
The deadlock over how long to delay Britain'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.
Unfortunately, opposition leaders and pro-European MPs in London violently reacted at what they believe is a delaying tactic.
The delay, almost three years since the United Kingdom voted to leave the European Union, leaves the Brexit divorce uncertain with options including leaving with May's deal, a longer delay, a disruptive exit, or even another referendum.
Many pro-Brexit members of May's Conservative Party are opposed to a longer delay because they fear it could mean Brexit might never happen. Britain's seats in that body have been allocated to other countries to fill.
The bloc is reluctant to agree to a three-month extension, saying that would require Britain to participate in May 23-26 elections for the European Parliament.
'But I'm not prepared to delay Brexit any further than June 30'.
But Merkel warned the EU wants to ensure the legitimacy of the May elections to the European Parliament.
Theresa May's decision to formally ask for an extension to Article 50 yesterday was no great surprise, as the motion giving her permission to do this was signed off by the Commons on March 14.